A cutting tool wears out with a time to failure that is normally distributed. It has a mean of 10 working days and a standard deviation of 2.5 days. Find: The probability of failure before day one The probability of failure after 5 days The days predicted that the tool would survive with a probability of 99

A cutting tool wears out with a time to failure that is normally distributed. It has a mean of 10 working days and a standard deviation of 2.5 days. Find: The probability of failure before day one The probability of failure after 5 days The days predicted that the tool would survive with a probability of 99

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...

See similar textbooks

Similar questions

Show complete and clear (if it is hand writing) solution and also provide given and illustration if possible. Thank you. explain your answer
Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mmHg) and the standard deviation is 5.6. Assume the variable is normally distributed. Round the answers to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. Part 1 of 3 If an individual is selected, find the probability that the individual's pressure will be between 120 and 122.6 mmHg. P(120 < X < 122.6) = 0.1772 Part: 1 / 3 Part 2 of 3 If a sample of 29 adults is randomly selected, find the probability that the sample mean will be between 120 and 122.6 mmHg. Assume that the sample is taken from a large population and the correction factor can be ignored. P(120 < X < 122.6) = X
Let X be the number of workouts a person does in a week. Suppose that X has the following probability distribution: 3 e d C # $ SB 4 C A. What is the expected number of workouts a person Standard deviation = r Expected value B. What is the standard deviation of the number of workouts a person f V You can use the tool below to help you compute standard deviation. % 5 t ca b 6 X 0 P p| 0.09 Oll y h hop & 7 n 1 2 3 0.14 0.43 | 0.25 O u does per Round to 2 decimal places, as needed. does per week? j Round to 2 decimal places, as needed. * 00 week? 8 4 0.09 3 k ( 9 O < alt O р ctrl [ ? + 11 = 1 < backs 1
esc Introduction A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: O H₁:0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Explanation μ Check □<口 X X OSO 020 0=0 x-H √n • The p-value is the area under the curve to the right…
find the standard deviation of this probability distribution. give your answer to 2 decimal places. x 0,1,2,3 p(x) 0.15,0.3,0.05,0.5
Page > of 3 The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 27.8 miles per gallon, with a standard deviation of 4.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 24 miles per gallon. 2. More than 19 miles per gallon. 3. Between 24 and 30 miles per gallon. 45°F Cloudy here to search (25
accidents in two weeks? Q6- Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the height of maple trees at age 5 are estimated to be normally distributed with mean u cm and variance 64 cm. find u.
IQ scores have a mean of µ=100 in the general population, and have a standard deviation of σ=15. You take a random sample of n=9 people. What is the probability that your sample mean will be M=95 or less?
A study discovered that Americans consumed an average of 13.2 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? enter your response here (Round to four decimal places as needed.) Part 5 e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of enter your response here pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)
Round z-score to the nearest hundredth and then find the required A values using the table. The amount of time customers spend waiting in line at a bank normally distributed, with a mean of 3.0 minutes and a standard deviation of 7.5 minute. Find the probability that the time a customer spends waiting is as follows. (A) Less than 3.5 minutes and (B) less than 1.5 minutes.
SubPArt. Pls answer the rest