A truth serum has the property that 93% of the guilty suspects are properly judged while, of course, 7% of the guilty  suspects are improperly found innocent. On the other hand, innocent suspects are misjudged 3% of the time. If the  suspect was selected from a group of suspects of which only 7% have ever committed a crime, and the serum  indicates that he is guilty, what is the probability that he is innocent?  Use Bayes theorem to solve.

Q: Your friend is attempting 10 free throws, and from experience, you know that your friend’s…

A: The random variable X is defined as the number of free throws which follows binomial distribution…

Q: Suppose 59% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is…

A: Answer: From the given data, Population proportion of vegetarians who are women (P) = 59% = 0.59…

Q: It has been shown by claims that have been made that 20% of parcels arrive damaged when using an…

A:

Q: A recent survey showed that the probability of a student using an on-line motorcycle taxi is 0.6.…

A: From the provided information, Probability of a student using an on-line motorcycle taxi is 0.6. Let…

Q: 3 students are choosing between loose leaf, hardback and electronic texts. Studies have show that…

A:

Q: Approximately 5.3% of Americans have French heritage. If you randomly select 350 Americans and ask…

A: Obtain the approximate probability that less than 3% of them to have French heritage. The…

Q: The weather in Montreal is approximately 50% sunny in the whole year afterwards of analytics.…

A:

Q: A pharmaceutical company claims that only 5% of patients experience nausea when they take a drug. In…

A: We have given that X be a random variable that is patients experience nausea is follow Binomial…

Q: Data compiled by Berks County on the number of convicted shoplifters in 2019 revealed that 62% were…

A: Let M and F be the event represent that number of convicted shoplifter are male amd female with…

Q: The problem claims that 67% of the rural population has access to the power grid. If a sample of 10…

A: To find the probability that 8 can actually connect to the power grid of rural families.

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: Assuming that the random number X of non operating elements obeys poisson's law…

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: GivenNo.of electronic elements(n)=1000probability of nonoperation for one element during one…

Q: Anand Publishing Company received a six-chapter manuscript for a new college textbook. The editor of…

A: The editor of the college division is familiar with the manuscript and estimated a 0.6504…

Q: Suppose that you and two friends go to a​ restaurant, which last month filled approximately 90.9% of…

A:

Q: David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use…

A: Given,Past evidence indicates that 40% of all customers pay in cash. That is, probability of success…

Q: A store owner of headache medicine claims it is 60% effective within a few minutes. That is, out of…

A: Given, let 'X' be the number of patients having relief within a few minutes out of 12 patients.…

Q: A healthcare company develops a test for a disease and finds that the probability of receiving a…

A: Solution: From the given information, the probability of receiving a false negative is 0.05.

Q: A manufacturer of headache medicine claims that it is 70% effective within a few minutes. That is,…

A: A manufacturer of headache medicine claims that it is 70% effective within a few minutes i.e.., out…

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

Q: A vendor supplies 200 parts and claims that no more than 25% of them are defective. The receiving…

A: Total number of parts=200 Sample size(n)=5 Claim is that not more than 25% are defective

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: Given,n=1000p=0.001λ=npλ=1000×0.001=1A random variable X~Poisson(λ=1)P(X=x)=e-11xx!  ;    x≥0

Q: Suppose that the probability of rain tomorrow is 0.4 What are the odds in favor of rain tomorrow?

A:

Q: An agricultural cooperative claims that 85% of the watermelons shipped out are ripe and eady to eat.…

A:

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: Given data: Total device = 1000 Probability of nonoperation = 0.001 To find : The probability that…

Q: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

A: