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Q: If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9, then P (A′ ∩ B′) equals
    If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9, then P (A′ ∩ B′) equals A.4/15 B. 8/45 C. 1/3 D. 2/9 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: If two events are independent, then A. they must be mutually exclusive B. the sum of their probabilities must be equal to 1
    If two events are independent, then A. they must be mutually exclusive B. the sum of their probabilities must ... the above is correct Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to
    Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) ... .2/5 B. 3/8 C. 3/20 D. 6/25 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: If the events A and B are independent, then P(A ∩ B) is equal to A. P (A) + P B. (B) P(A) – P(B) C. P (A) . P(B) D. P(A) | P(B)
    If the events A and B are independent, then P(A ∩ B) is equal to A. P (A) + P B. (B) P(A) – P(B) C. P (A) . P(B) D. P(A) | P(B) Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Two events E and F are independent. If P(E) = 0.3, P(E ∪ F) = 0.5, then P(E | F)–P(F | E) equals
    Two events E and F are independent. If P(E) = 0.3, P(E ∪ F) = 0.5, then P(E | F)–P(F | E) equals A. 2/7 B. 3/25 C. 1/70 D. 1/7 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is
    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting ... /56 D. 15/29 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability that exactly
    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability that exactly ... /28 D. 5/28 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Three persons, A, B and C, fire at a target in turn, starting with A. Their probability of hitting the target are 0.4, 0.3 and 0.2 respectively.
    Three persons, A, B and C, fire at a target in turn, starting with A. Their probability of hitting the target are 0 ... 0.336 D. 0.452 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random.
    Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at ... . 2/3 D. 4/7 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: A die is thrown and a card is selected at random from a deck of 52 playing cards.
    A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even ... 1/8 D. 3/4 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement.
    A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without ... 1/28 D. 167/168 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested,
    A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, the ... 14 D. 3/28 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Eight coins are tossed together. The probability of getting exactly 3 heads is
    Eight coins are tossed together. The probability of getting exactly 3 heads is A. 1/256 B. 7/32 C, 5/32 D. 3/32 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is
    Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a ... . 1/5 D. 2/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
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Q: Which one is not a requirement of a binomial distribution?
    Which one is not a requirement of a binomial distribution? A. There are 2 outcomes for each trial B. There is ... for all the trials Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is
    Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. The probability, that both cards are queens, is Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is
    The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is A. 5C4 ... (0.7)4 (0.3) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: For the following probability distribution:
    For the following probability distribution: E(X) is equal to : A. 0 B. –1 C. –2 D. –1.8 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: For the following probability distribution
    For the following probability distribution E(X2) is equal to A. 3 B. 5 C. 7 D. 10 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1.
    Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If P(x = r) / ... C. 1/5 D. 1/7 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: In a college, 30% students fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at random.
    In a college, 30% students fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at ... 9/20 D. 1/3 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: A and B are two students. Their chances of solving a problem correctly are 1/3 and 1/4,
    A and B are two students. Their chances of solving a problem correctly are 1/3 and 1/4, respectively. If the ... 13/120 D. 10/13 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn
    A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn ... most one is defective? Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: Let P(A) > 0 and P(B) > 0. Then A and B can be both mutually exclusive and independent.
    State True or False for the statement: Let P(A) > 0 and P(B) > 0. Then A and B can be both mutually exclusive and independent. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: If A and B are independent events, then A′ and B′ are also independent.
    State True or False for the statement: If A and B are independent events, then A′ and B′ are also independent. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: If A and B are mutually exclusive events, then they will be independent also.
    State True or False for the statement: If A and B are mutually exclusive events, then they will be independent also. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: Two independent events are always mutually exclusive.
    State True or False for the statement: Two independent events are always mutually exclusive. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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Q: If A and B are two independent events then P(A and B) = P(A).P(B)
    State True or False for the statements: If A and B are two independent events then P(A and B) = P(A).P(B) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
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