Find the specified probability, from a table of Normal probabilities. Assume that the necessary conditions and assumptions are met. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 77 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 79.8 inches?
Given,
= 77 ,
=
10
Using central limit theorem,
P( < x) = P
(Z < x -
/ (
/
sqrt(n) ) )
So,
P( < 79.8 )
= P( Z < 79.8 - 77 / ( 10 / sqrt(25) ))
= P (Z < 1.4)
= 0.9192 (Probability calculated from Z table)
Find the specified probability, from a table of Normal probabilities. Assume that the necessary conditions and...
QUESTION 5.00000 points Save Answer Provide an appropriate response. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 14 inches. What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 109.8 inches?
the amount of snowfall in a certain mountain range is normally
distributed with a mean of 101 and a standard deviation of 14
inches. what is the probabilty that the mean annual snowfall during
49 randomly picked years will exceed
p(mean excesds 103.8))
Solve problems 3 and 4. 3) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 101 and a standard deviation of 14 inches What is the probability that the...
1) The weights of newborn children in the U.S. vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies newborns as having low birth weight if the weight is less than 5.5 pounds. a) What is the probability that a baby chosen at random weighs less than 5.5 pounds at birth? b) Suppose we select 10 babies at random. What is the probability that their average birth weight is less than 5.5...
Solve the problem. Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 in. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 in.? Group of answer choices 0.8212 0.3212 0.9203 0.6788 0.1788
20 pts Question 5 The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70 inches and a standard deviation of 10 inches. What is the probability that the annual snowfall for 1 randomly picked year will exceed 66.73 inches? Round your answer to 3 decimal places 0.327 02 0209 0.791
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 97 inches, and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 998 inches? Round your answer to four decimal places O A 0.4192 OB 0.0026 OC. 0.5808 OD. 0.0808
Solve the problem. 11) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 100 inches, and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 102.8 inches? Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 12) A multiple choice test consists of 60 questions. Each question has 4 possible answers of...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four de = 100; = 20 P(x290) Need Help? Read It Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.6 millimeters (mm) and a standard deviation of 1.4 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal...
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 13) Shaded area is 0.9599. A) - 1.38 B) 1.03 1.82 D) 1.75 14) Shaded area is 0.0694. A) 1.45 B) 1.26 1.48 D) 1.39Find the indicated value. 15) z0.005 A) 2.535 D) 2.015 92.835 B) 2.575 16) z0.36 A) 1.76 B) 0.45 1.60 D) 0.36 Provide an appropriate response. 17) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed...
A. The amount of snowfall in a certain mountain range is normally distributed with a mean of 91 inches and a standard deviation of 15 inches. What is the probability that the mean annual snowfall during 64 randomly chosen years will exceed 93.8 inches? Is this a rare event? B. Assume that the population of human body temperatures has a mean of 98.6° F, and standard deviation is 0.62° F. If 106 people are randomly selected for evaluation, what is...