The amount of snowfall falling in a certain mountain range of the Rocky Mountain
ID: 3208932 • Letter: T
Question
The amount of snowfall falling in a certain mountain range of the Rocky Mountains has a mean of 105 inches and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 107.8 inches? The weights of the fish in Lake Robbins have a mean of 14 lb. and a standard deviation of 6 lb. If 35 are randomly selected, what is the probability that their mean weight will be between 11.6 and 15.8 lb? 0.4616 0.4911 0.0295 0.9527 In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1,050 kWh and a standard deviation of 218 kWh. If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September would be between 1065 and 1095 kWh. 0.6158 0.4279 0.2400 0.1879 A "weird" coin has the probability of getting a tail on a single toss of .60. If the coin is tossed 22 times, would this be suitable to use the normal distribution as an approximation to finding probabilities? Normal approximation is suitable. Normal approximation is not suitable.
Explanation / Answer
Answer to question 01: The amount of snowfall falling in a certain mountain range of the Rocky Mountains has a mean of 105 inches and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 107.8 inches?
Mean is 105 and st dev =16 and n=64
P(x>107.8)=P(z>(107.8-105)/(16/sqrt(64)))=P(z>1.4) or 1-P(z<1.4)
from the normal distribution table, it is 1-0.9192 =0.0808
Per the Chegg policy, I have answered the first question
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