**Question 2**a) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 19.49% of battery shelf lives fall below? Do not round your final answer.b) The shelf life of a battery produced by a major company is normally distributed with a mean of 8 years and a standard deviation of 0.2 years. What value of shelf life do 14.46% of battery shelf lives fall above? Do not round your final answer.c) The number of pizzas that a delivery driver delivers during a shift has a normal distribution with a mean of 13 and a standard deviation of 5. What is the probability that in a random sample of 9 shifts, the driver delivers more than 11 pizzas? Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table.d) Use the normal approximation to the binomial to estimate the probability of getting less than 51 girls in 100 births. Assume that boys and girls are equally likely and that births are independent. Round all z scores to two decimals. Enter your final answer as a decimal to four places (e.g., 0.1234). Probabilities must match values from the table.

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: a) The shelf life of a battery produced…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 11 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. million dollars
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
Measurements of zinc levels in a flowing river are normally distributed with a standard deviation of 0.5 ppm (due to measurement variation) and a mean 6.1 ppm. What value of zinc concentration from a river would place it in the top 66%?
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the 80th percentile of component lifetimes?
Assume that a certain data is approximately bell-shaped with mean 91 and standard deviation 6. Use the Empirical Rule to find the percent of the data between 85 and 103. Show all the necessary calculations.
Resting pulse rates for healthy adults are found to have approximately a Normal distribution with a mean of 69 beats per minute and a standard deviation of 8.5 beats per minute. Between what two values do the central 80% of all resting pulse rates lie? what is lower value and upper value ?
6.10 Males 20 to 29 years old have a mean height of 69.4 inches with a standard deviation of 3.5 inches. Females 20 to 29 years old have a mean height of 64.1 inches with a standard deviation of 3.1 inches. Find the standardized variable for the heights of males. Find the standardized variable for the heights of females. For a 68‐inch‐tall person, find the value of the standardized variable for males. For a 68‐inch‐tall person, find the value of the standardized variable for females. Compare your answer with part (c) and comment.
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 11 million dollars and a standard deviation of 1.2 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
If the weight of fertilizer in a 40-pound bag is normally distributed with a standard deviation of 0.5 pounds, what is the range of weights of bags of fertilizer within two standard deviations of the mean?
A sample of 75 will be drawn from a population of test takers with a mean of 150 and standard deviation 9. Find the 85th percentile.
How can get the standard deviation within the measures of dispersion or variability ?

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