Question

Of mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 climbers who will make the attempt, what is the probability of each of the following? a.) Exactly 14 of 16 reach the summit. b.) At least 14 reach the summit. C.) No more than 5 reach the summit. d.) Between 9 and 12 reach the summit (including 9 and 12) e.) What is the mean and standard deviation of this study? f.) If 73% of climbers reached the summit, what is the probability that exactly 14 of 16 climbers make it now?

Answer 1

Of mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 climbers who will make the attempt, what is the probability of each of the following?



a.) Exactly 14 of 16 reach the summit.

b.) At least 14 reach the summit.

C.) No more than 5 reach the summit.

d.) Between 9 and 12 reach the summit (including 9 and 12)

e.) What is the mean and standard deviation of this study?

f.) If 73% of climbers reached the summit, what is the probability that exactly 14 of 16 climbers make it now?​

Part a)

Divide 14 by 16

so

P=14/16

P=7/8

Multiply by 0.65

(7/8)(0.65)=