Q1: In a factory, there are three types of machines M1, M2 and M3 which produces 25%, 35% and 40% of the total bolts respectively. M1, M2 and M3 produces 5%, 4% and 2% defective bolts, respectively. A bolt is drawn at random and is found to be defective. What is the probability of that it is manufactured by: 1. machine 1? 2. machine 2? 3. machine 3?

Q: Carl’s basketball shooting records indicate that for any frame, the probability that he will score…

A: Given that the probability that he will score in a two-point shoot is 30%, a three-point shoot is…

Q: Machine A produces 3% defectives, machine B produces 5% defectives, and machine C produces 10%…

A:

Q: 6. A certain company is ordering small parts shipped in large bins from two different suppliers:…

A: Given information: Pdefective|A=2.5%=0.025Pdefective|B=5%=0.05PA=3PBFrom the…

Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Let X denote the number of passing vehicles on a Wednesday morning per minute.

Q: . 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the…

A:

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: 3. Patients are recruited onto the two arms (0 - Control,1-Treatment) of a clinical trial. The…

A: Let A represent the event that the first patient is allocated to the control arm suffers an adverse…

Q: If the probability of a student taking a strength training gym class is 0.90, the probability of…

A: Given, The probability of a student taking a strength training gym class(P(A))=0.90 The probability…

Q: A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are…

A: Given Information: A manufacturing process has a 70% yield. 70% of the products are acceptable. 30%…

Q: An automotive plant produces three types of vehicles: Sedan, SUV and Sports. 56% of the production…

A: Given information: The probabilities are as given below: P (Sedan) = 56% = 0.56 and P (SUV) = 20% =…

Q: per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a…

A:

Q: 28 percent of American males smoke cigarettes, percent smoke cigars, and 5 percent smoke both cigars…

A: Cigarette = A, Cigar = BP(A) = 28% = 0.28P(B) = 7% = 0.07P(A and B) = 5% = 0.05

Q: A certain type of rocket has 5 ignitors which act independently of the others. Each ignitor has a 5%…

A: Let X denotes the number of ignitor fails which follows binomial distribution with sample size 5 and…

Q: *A hospital receives 1/5 of its flu vaccine shipments from Company X and the remainder of its…

A: This can be solved using Bernoulli Formula.

Q: In a lab experiment, you test for the presence of two viruses, X and Y , in a culture. After…

A: From the given information, Consider, P (XC) =0.35 P (y) = 0.70 P (XUY) =0.88, P (X and Y) =? Thus,…

Q: Two shipments (A and B) of blenders were inspected. Shipment A contains 50 blenders of which 5 are…

A: Solution

Q: sourdough, wheat, and rye. The sales data from the past month shows that 40% of the bread sold was…

A: Given that Sample size(n)=100  Probability of success (p)=0.40 We have to find probability that the…

Q: A retailer sells two brands of batteries that experience indicates are equal in demand.  If he…

A: