(a) What is the probability that none of the crimes will ever be solved? (Round your answer to three decimal places.) (b) What is the probability that at least one crime will be solved? (Round your answer to three decimal places.) (c) What is the expected number of crimes that will be solved?  crimes What is the standard deviation?

Q: According to a research agency, in 25% of marriages the woman has a bachelor's degree and the…

A: It is given that the probability of the woman has a bachelor’s degree and the marriage lasts at…

Q: In 2018-2019 (i.e. a 104 week period) there were a total of 25 earthquakes of magnitude 7.0 or…

A: Given that,  There were a total of 25 earthquakes of magnitude 7 or larger in a 104 week period. Let…

Q: About 5% of the population of a large country is hopelessly romantic. If two people are randomly…

A: Given P(hopelessly romantic)=0.05 P(not hopelessly romantic)=0.95

Q: In a certain congressional district, it is known that 40% of the registered voters classify…

A: Givenp=0.40sample size(n)=10Let "x" be the no.of votors are…

Q: 2. Approximately 6% of the male population is color-blind. If a random sample of 250 male adults is…

A: Given that  n= 250 , p=6%=0.6 , q=1-p=1-0.06=0.94

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: Fifty-NINE percent of American adults eat at a table-service restaurant at least once a week.…

A: GivenNo.of American adults eat at a table service restuarant =0.59

Q: Suppose that on a certain messaging service, 4.63% of all messages fail to send. Thus, in a random…

A:

Q: a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard…

A: Assume that there is a 4​% rate of disk drive failure in a year. 1-p= 0.04, p=0.96 a) The…

Q: Assume that there is a 5% rate of disk drive failure in a year. a. If all your computer data is…

A: Let X represent the random variable p=1-0.05=0.95   a) n=2   X~ Binomial (2, 0.95)

Q: Suppose 1 in 1000 persons has a certain disease. A test detects the disease in 95% of the diseased…

A: Given : P( Disease ) =11000=0.001 P(not  Disease ) =1-P(Disease)=1-0.001=0.999 P( Test…

Q: Assume that there is a 7% rate of disk drive failure in a year. a. If all your computer data is…

A: Given, Assume that there is a 7% rate of disk drive failure in a year.a. If all your computer data…

Q: has been estimated that 17 % of mutual fund shareholders are retired persons. Assuming the…

A: We have to calculate population mean  standard deviations  here n= 400, p= 0.17

Q: Assume that there is a 5% rate of disk drive failure in a year. a. If all your computer data is…

A: Given that the rate of disk drive failure in a year is 5%.

Q: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes…

A: Given,n=9p=0.2q=1-0.2=0.8Let X=no.of crimes will be solvedX~Binomial(n=9 , p=0.2)P(X=x)=9x0.2x0.89-x…

Q: About 10​% of the population of a large country is nervous around strangers. If two people are…

A: The probability that a randomly selected people is nervous around strangers is 0.10. The probability…

Q: Suppose that 30%30% of all college freshmen gain weight. A sample of 1818 is selected randomly.…

A:

Q: On any given work day, Lillian notices that as she’s driving to school, she is first stopped by a…

A: Let T denote Train and R denote Red light. Given: PR=0.70PT=0.40 Stopped by red light and train are…

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

Q: A fuel company conducts a geologic survey, that has a 20% chance of striking an oil reserve. What is…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 - p)n…

Q: A new drug cures 65% of the patients who take it. If it is given to 14 patients, what is the…

A:

Q: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes…

A: Given,n=6p=1-0.8=0.2q=0.2A random variable X~Binomial(n=6 , p=0.2)P(X=x)=Cx6 0.2x0.86-x   ;…

Q: At Denver international airport, 81% of recent flights have arrived on time. A sample of 12 flights…

A:

Q: mple of twelve such machines is drawn. Given that fewer than 3 such machin chnical issue, what is…

A: To find the probability that at most one machine has at least one technical issue:   Given that…

Q: Suppose that Revenue Canada will audit 20% of income tax returns reporting an annual income of more…

A: Given,n=15p=0.2q=1-p=1-0.2=0.8A random variable X~Binomial(n=15 , p=0.2)P(X=x)=15x 0.2x0.815-x     ;…

Q: In a certain congressional district, it is known that 60% of the registered voters classify…

A:

Q: Suppose a 5% of the items produced by a machine is defective. If a quality controller selects two…

A: Given that  Success of probability p =0.05 Number of trials n=2 X~binomial (n,p)

Q: According to an article in the February 1991 issue of Reader’s Digest, patients face a 1 in 20…

A: From the provided information, Patients face 1 in 20 chance of acquiring an infection while…

Q: A certain insecticide kills 60% of all insects in a laboratory experiment.  A sample of 9 insects is…

A: The random variable  is the number of insects that will die.The number of trials: The probability of…

Q: An organization conducts an annual survey of cybersecurity at firms from around the world. In a…

A: The provided information is as follows:The total number of firms is .The total number of firms that…

Q: it is estimated that 4800 of the 24,000 voting residents of a town are against a new sales tax. If…

A: Given: Number of residents against a new sales tax (x)= 4800 Total voting residents (N)=24000

Q: Based on a Bellows survey of adults, there is a 0.48 probability that a randomly selected adult uses…

A: