REVIEW EXERCISE 3 1. A man throws a die and a coin. Find the probability thit he will get (i) the number 3 followed by a head, an even number followed by a tail.

Q: Category C fails too. What is the probability that a chosen turbine fails after two years?

A: Let us define some events A : turbine is from category A. B : turbine is from category B. C :…

Q: If the probability of scoring a goal (from a direct shot to the target) by Barcelona Football Club…

A: Solution

Q: The probability that a bolt meets a strength specification is 0.87. What is the probability that the…

A: It is given that the probability that a bolt meets a strength specifications is 0.87.

Q: Suppose the experiment of rolling a die. Find the probability of rolling the fifth number 1 before…

A: Given that, we should get the fifth number 1 before the ninth roll. This means we should get 5…

Q: A single die is rolled twice. Find the probability of rolling a2 the first time and a3 the second…

A: Given That: A single die is rolled twice.

Q: An insurance company is studying the driving records of teenagers. The number of moving violations…

A: Solution: Let X be the number of violations. From the given information, the frequency data is

Q: In an audit of a company’s billings, an auditor randomly selects 5 bills. If 3% of all bills contain…

A: Let X be the number of errors in the bills. Here, X follows binomial distribution. The pdf of…

Q: Studies show that seven percent of adults live to age of 110. You randomly select five adults. Find…

A: Obtain the probability that at least two of them will live until age of 110. The probability that at…

Q: Find the requested probability. Give your answer to two decimal places. P(Ā) if P(Ā)=0.4 P(Ā)=?

A:

Q: Jane tosses a fair die 3 times. What is the probability she rolls at least 1 five? If necessary,…

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Q: a) The probability that brand A bulbs will have a mean lifetime that is at least 160 hours. b) The…

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Q: (4) Battery lifetime is a Normal r.v. with μμ=500 days and σσ=61 days. (a) What is the probability…

A: Mean ( u ) =500Standard Deviation ( sd )=61Normal Distribution = Z= X- u / sd ~ N(0,1)…

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 11.

A: Given: An experiment of tossing a six-sided die twice.

Q: 3. The table below shows the gender and amount of time each person surveyed exercises each day. Male…

A: This question can be solved using the concept of contingency table.

Q: Data from a survey can allow one to estimate how many people who classified their work status as…

A: From the table, we see that there are  308 part-time workers.  Among the part-time workers…

Q: Data from a survey can allow one to estimate how many people who classified their work status as​…

A: From the table we can see that there are total 1583 individuals and out of them 75 of them worked…

Q: The data on traffic accidents indicates that the average rate of accidents is three per week.   a)…

A:

Q: Assume, the record shows that annual rainfall in a certain catch basin follows N(60, 15) (inches)…

A: According to the provided information, the annual rainfall in a certain catch basin follows N(60,…

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: Find the probability for the experiment of tossing a six-sided die twice. The sum is 7.

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Q: Find the probability of getting an even number when a die is thrown.

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Q: g. What is the probability that the useful life of a laser exceeds five years?

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Q: Chapter P, Section 2, Exercise 054 Find the requested probability using the tree diagram below. R…

A: The modified tree diagram of the distribution is shown below.

Q: Compton Computers finds that the time to failure of its power supply unit is 4000hours. One unit…

A: Mean time between failures =MTBF = 1λ= 4000 hours where λ represents the failure rate Time to…

Q: Chapter P, Section 3, Exercise 079 10 20 30 P(x) 0.70 0.15 0.15 (a) Use the probability function…

A:

Q: You roll a die five times. What is the probability that you will see a string of three or more…

A: Given data: *The die is rolled 5 times, n=5. The probability of getting one (success) when a one die…

Q: It has been found from experience that an exclusive clothes shop makes anaverage of four sales every…

A: Given that an exclusive clothes shop makes an average of four sales every fifteen minutes. If we…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A: Given data is   Business degrees Nonbusiness degrees Total Male 192724 624626 817350 Female…

Q: The lifespan of a car battery is normally distributed with μ = 5 years and o= 1.2 years. What is the…

A: The provided information is µ=5 σ=1.2…

Q: A baseball player has a batting average of 0.37. What is the probability that he has exactly 1 hits…

A: Binomial distribution : A discrete random variable x is said to be binomial distribution with the…

Q: Two fair dice are thrown once. Find the probability that the sum is 5, given that one of the dice…

A: Two fair dice are thrown then find probability that sum of two dice is 5 given that one of the dice…

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

A: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

Q: Calls arrive at a switchboard with a mean of one every 11 seconds. What is the exponential…

A:

Q: According to a study, a female driver in the United States will average 615 accidents per 100…

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px qn – x;…

Q: Find the average lifetime of the machine part. Calculate the probability that the lifetime of the…

A: fx= 10+x-2; 0<x<40 fx=k 10+x-2; 0<x<40 First, we have to find the value of k Therefore,…

Q: If the jobs arrive every 15 seconds on average, A- 4 per minute, what is the probability of waiting…

A: Given,A random variable X~Exponential(λ=115seconds)f(x)=115e-x15       ;   x≥0

Q: In a new fiber-optic communication system, transmission errors occur at the rate of 2.5 per ten…

A: Obtain the probability that more than five errors will occur during the next minute.   The…

Q: If a fair dye is rolled two times, find the probability of rolling a 3, and then a 4. Round your…

A: Let S be the sample space

Q: A die was rolled 40 times. The results of each roll is given in the table below. If the die is…

A:

Q: Data from a survey can allow one to estimate how many people who classified their work status as…

A: Solution

Q: In a class of students, the following data table summarizés how many students play an instrument or…

A: *concept:- use conditional probability.

Q: The table below shows the probability distribution for forest fires each year, measured in square…

A:

Q: he principle of redundancy is used when system reliability is improved through redundant or backup…

A: Given data,Probability of failure rate is p=14.9% =0.149P(Students alarm clock will not work on…

Q: In a video game, a specific attack succeeds at a rate of 20% and every try is independent. Determine…

A:

Q: No. of Year of 1st Year of 2nd Year of 3rd Year of Patients Treatment Treatment Treatment Treatment…

A: Given data is :

Q: An average of 3 cars arrived at a highway tollgate every minute. What is the probability that at…

A: GivenAn average of 3 cars arrived at tollgate every minutefor 15minutes = 3*15=45λ=45 cars for…

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…

Q: Exercise 3.6. Three coins worth 10p, 20p and 50p each are tossed. The values of those coins that…

A:

Q: Grade A B Frequency 5 C D F 5 Refer to the table. Given that receiving at least a C is passing the…

A: Answer:- Given table Grade Frequency A 5 B 9 C 9 D 7 F 5 Total 35 Given that…