Answer:
A. Mean = 10.5, standard deviation = 2.61247
B. Mean = 4.5, stand deviation = 1.955761
Step-by-step explanation:
Number in a group = 30
So n= 30
A.
It follows the binomial distribution
n = 30, probability p = 0.35
The mean = n*p
= 30x0.35
= 10.5
The standard deviation = √np(1-p)
= √10.5(1-0.35)
= √10.5(0.65)
= √6.825
= 2.61247
B. Probability of a new skier carried = 0.15
n = 30
Mean = n*p
= 30x0.15
= 4.5
The standard deviation = √np(1-p)
= √4.5(1-0.15)
= √4.5(0.85)
= √3.825
= 1.955761