Question

In: Statistics and Probability

Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random...

Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? (HINT: Use the binomial distribution table.)

(a) All 16 reach the summit. __________________________
(b) At least 10 reach the summit. __________________________

(c) No more than 12 reach the summit. __________________________

(d) From 9 to 12 reach the summit, including 9 and 12. __________________________

Solutions

Expert Solution

Let X denotes the number of  mountain climbers who  reach the summit in a random sample of 16 mountain climbers who are going to attempt Mt. McKinley.

Here,

X ~ Binomial(n = 16, p = 0.65)

The probability mass function of X is

a) The probability that all 16 reach the summit

b) The probability that at least 10 reach the summit.

c) The probability that no more than 12 reach the summit.

d) The probability that from 9 to 12 reach the summit, including 9 and 12

orchestra answered 2 years ago
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