a) An assembly consists of three mechanical components. Suppose that the probabilities that the first, second and third components meet specifications are 0.95, 0..98, and 0.99. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. oR

a) An assembly consists of three mechanical components. Suppose that the probabilities that the first, second and third components meet specifications are 0.95, 0..98, and 0.99. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. oR

Name: a) An assembly consists of three mechanical components. Suppose that
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: a) An assembly consists of three mechanical components. Suppose that theprobabilities that the first, second and third components meet specifications are0.95, 0.98, and 0.99. Assume that the components are independent. Determine theprobability mass

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

During a Kansas tornado season, the probability a local grocery store experiences power outage on any workday is 0.125. Calculate the probability that during a regular work week (Monday-Friday) the store experiences power outage (a) On both Tuesday and Friday
There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If XX assigns the total value in cents of the coins to each outcome, how many distinct values does X take? Find the probability density function of X (Note: Please write the values of X in ascending order!).
Use the probability mass function of a uniform random variable with parameters a and b tofind its mean.
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 44% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed.(Round to four decimal places as needed.)
Construct the joint probability mass table of (X,Y)
Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needs, the reliability should…
Of the cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.5% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner %. Type an integer or a decimal. Do not round.) Time Remaining: 01:02:00 Next:
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant с 245 35 B 280 60 A Order Accurate 313 Order Not Accurate 38 If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below. The probability is. The events (Do not round until the final answe a. Assume that the selections are made with replacement. Are the events independent? The probability is. The events independent. (Do not round until the final answer. Round to four decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? independent. D 129 10 are not are cimal places as needed.) ...
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
a box contains 6 balls, 4 of which are red. I randomly select 3 balls from the box. Find the probability mass function of getting 2 red balls?
Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.33 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the number of people who arrive late for the seminar. (a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.) 0 1 2 3 4 5 6 7 8 P(X=x) 0 1 2 3 4 5 6 7 0.1350 0.1330 0.2322 0.1965 0.2633 ✓ ✔ (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) F(x) 0.1350 0.268 0.5002 0.6967 x