The probability of oil spills in Lake Maracaibo is 0.01 according to a study. At one particular instance where there are 500 tankers passing through a region on the lake, find the probability that 4 oil spills will happen. * 0.225 0.169 0.175 0.367

Q: The probability that an adult possesses a credit card is .35. A researcher selects two adults at…

A: Given information- We have given the probability that an adult possesses a credit card p = 0.35 The…

Q: Smoking leads to significant health problems, 20% of adults in Europe smoke. Consider a group of 250…

A: X has binomial distribution. X~B(n,p) Where n=250 and p=0.20 np and np(1-p) is greater than 5. then…

Q: Fifty-six percent of U S adults say they intend to get a flu shot. You randomly select 10 U.S.…

A: It is given that sample size n =10 and probability of consumer U.S. adults say they intend to get a…

Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given : The proportion of eligible voters in the next election who will vote for the incumbent is…

Q: The probability that an egg in a retail package is cracked or broken is 0.025. Find the…

A: Given :  The prob. that an egg in a retail package is cracked or broken is 0.025 i.e Proportion (p)…

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: Find the indicated probability. Round to the nearest thousandth.In a blood testing procedure, blood…

A: The probability that individual sample test is negative is, Pn=1-0.11=0.89

Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

A: Given In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with…

Q: The probability of a radar station detecting an enemy plane is 0.55. If 60 stations are in use, what…

A: The binomial distribution is given by,   P(X=x) = Cxn . px . qn-x ; x = 0, 1, 2, ....…

Q: An old cannon hits the target with 0.25 probability. What is the probability that it hits the target…

A: Given information- Probability of hitting the target, p = 0.25 = 1/4 Probability of missing the…

Q: An automated assembly line produces 43,500 parts per duty cycle. The probability that a randomly…

A:

Q: The probability that an adult possesses a credit card is .62. A researcher selects five adults at…

A: We have to find given probability

Q: 16 of the 200 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the…

A: Given that, 16 of the 200 digital video recorders​  (DVRs) in an inventory are known to be…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A:

Q: The probability of oil spills in Lake Maracaibo is 0.01 according to a study. At one particular…

A:

Q: A baseball player has a batting average of 0.4. What is the probability that he has exactly 1 hits…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: The probability that a person has a negative side effect from a medication is .08. Suppose you treat…

A: Given, The probability that a person has a negative side effect from a medication is .08 (p) = 0.08…

Q: Policy holders of an insurance company file claims at an average rate of 0.39 per year. If the…

A: Solution: From the given. Information  it follows a poisson distribution. Where, mean(λ) = 0.39…

Q: From a standard deck of playing cards you are dealt 3 cards. If X is the number of diamonds that was…

A:

Q: A production line estimates that 1.50% of the items it produce is defective. In a package containing…

A:

Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: Given that the probability that South Florida will be hit by a major hurricane (category 4 or 5) in…

Q: seventy-five percent of students at a college with large student population use the social media…

A:

Q: A baseball player has a batting average of 0.3. What is the probability that he has exactly 3 hits…

A: Given,n=7p=0.3Let X=no.of hits in his next 7 at-batsX~Binomial(n=7 , p=0.3)P(X=x)=7x 0.3x 1-0.37-x…

Q: 8 people are taking a driving test. If the probability of passing the test is 0.75. What is the…

A:

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the…

A:

Q: A telephone switch board in a firm receives on a average 90 calls per hour. Find the probability…

A: X~ Poisson (lemda=90) Pd.f. of X is given by, p(x)= e-lemda(lemda)x/X!

Q: Suppose Solar power plants failures occur with an average of 5 failures every year, calculate the…

A: Given data: 5 = failures every year To find: The probability that there will not be more than one…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Solution: From the given information, n = 410 and p = 0.527.

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A:

Q: The probability of finding a gold card is 0.03. What is the probability that 1 out of 10 randomly…

A:

Q: Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically…

A:

Q: On average there are 3 typing errors per page of text. What is the probability that on any given…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: (a). Calculate the probability of finding a batch of 100 invoices without error: Here, it is given…

Q: In a science class, 27% of the students complete an extra-credit project. 18% of the students…

A: Let    E1  - Event that the student completes on extra credit project E2 - Event that the student…

Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…

A: Given that, local grocery store experiences power outage on any workday is 0.125. i.e Probability…

Q: The probability that an adult possesses a credit card is .65. A researcher selects three adults at…

A:

Q: According to a survey conducted by OnePoll, a marketing research company, 10% of Americans have…

A: Given that, According to a survey conducted by One Poll, a marketing research company, 10% of…

Q: In a factory, there were 36 accidents involving machinery in the last six months. (a) Calculate…

A: Let X be the random variable of number of accidents involving machinery in the six months X~ Poi(36)…

Q: In a factory, there were 12 accidents involving machinery in the last six months.  (d) Calculate…

A: Given, In a factory, there were 12 accidents in the last 6 months => 12/6 = 2 accidents per month…

Q: A customer relations manager at SARS observes that a teller can serve, on average,15 clients in an…

A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: In a large population, 64 % of the people have been vaccinated. If 3 people are randomly selected,…

A:

Q: 65% of Americans drink one coffee a day. With a random sample of 45 Americans, what is the…

A: Solution: Given information: n= 45 Sample of Americans  p= 0.65 Population proportion of Americans…

Q: The number of vehicles that a car rental company rents daily is 5. According to this; a)What is the…

A: Given: Number of vehicles hired daily is, N=5. The objective is, To find the probability of…

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the…

A: Given that  The average number of field mice per acre in a 5-acre wheat field is estimated to be 10.…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A:

Q: The probability that a car will crash in a year is 5.5%. What is the probability that out of 100…

A: Let x follows binomial distribution with parameters n = 100 and p = 0.055   The pdf of binomial…

Q: The probability that a referee making a serious mistake in a match is 0.4. What is the probability…

A: Given,n=3p=0.4X~Binomial(n=3 , p=0.4)P(X=x)=cxn px (1-p)n-x  ; x=0,1,2....n

Q: Assume that the average number of births in a hospital is 3 births per shift. a) What is the…

A: Given, Assume that the average number of births in a hospital is 3 births per shift. This follows…