Question

The probability that Pete will catch fish when he goes fishing is 0.84. Pete is going...

The probability that Pete will catch fish when he goes fishing is 0.84. Pete is going to fish 3 days next week. Define the random variable x to be the number of days Pete catches fish. What is the probability that Pete will catch fish on one day or less?

0.065

0.069    

0.840

0.935

Homework Answers

Answer #1

Let X be a number of days that Pete will catch fish among 3 days next week. P(catching a fish) = p = 0.84

Here, X ~ Binomial (n = 3, p = 0.84)

We want to find, the probability that Pete will catch fish on one day or less. That is to find, P(X ≤ 1)

P(X ≤ 1)

= P(X = 0) + P(X = 1)

= [ 3C0 * (0.84)0 * (1 - 0.84)3-0 ] + [ 3C1 * (0.84)1 * (1 - 0.84)3-1 ]

= [ 1 * 1 * (0.16)3 ] + [ 3 * 0.84 * (0.16)2 ]

= 0.004 + 0.065

= 0.069

Therefore, required probability is 0.069

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