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Consider the events A and B. It is given that P(A)=0.4 and P(A∪B)=0.8.
Find P(B) in the case where
A and B are mutually exclusive,
A and B are independent.
P(A∣B)=0.2
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A school cafeteria is serving 3 dishes; quiche (Q) and risotto (R) and sushi (S). The foods chosen by 150 students are recorded, and shown in the following Venn diagram.
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Find the probability that a randomly selected student
ate only quiche,
ate only one of the dishes.
It is given that 25 students ate 2 or more of the dishes.
Find the value of c.
The probability that a randomly chosen student ate all three dishes given that they ate sushi and risotto is 0.25.
Find the value of a and the value of b.
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The following diagram shows the curve of the normal distribution of the random variable X.
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The area of the shaded region R is 0.32.
Find the value of P(X<92).
It is given that P(X>58)=0.68.
Find the expected value, μ, of X.
Determine the value of
P(58<X<μ),
P(58<X<92∣X<92)
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