**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 12 million dollars and a standard deviation of 1.3 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 X S
Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?
The shelf life of a battery produced by one major company is known to be Normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What is the upper quartile of battery shelf life? Use the fact that the middle 50% of the data falls within 0.67 standard deviations from the mean.
1. What does the standard deviation measure?
According to a recent report the battery life for a new line of laptop computers has a mean of 9 hours with a standard deviation of 2.4 hours. If battery life is normally distributed what percentage of new laptops will last between 8 and 11 hours on a single charge?
Suppose that annual precipitation is normally distributed, with mean 50 inches, and standard deviation 12 inches. Find the 65th percentile of the precipitation distribution
Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.
In what percentile is an infant’s body weight of 7 pounds, if infant body weights at that age are normally distributed with mean 11 pounds, and standard deviation 2 pounds?
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 ?
The ages of the members of a boating club is normally distributed with a mean of 62 years and a standard deviation of 12 years. What percentage of members are between the ages of 50 years and 74 years?
Assume that the time a student stays in school is normally distributed with a mean of 5 hours and a standard deviation of 0.5 hours. Every day, Ian stays in school for 5.5 hours. What proportion of student stays less than 5.5 hours?

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