Solve the following problems: 25. The probability of a rifleman hitting the target is 5 Suppose he fires 8 times, what is the probability that he hits the exactly three times? What is the probability that he hits the target at least once? target

Q: A pair of dice are tossed twice.  Find the probability that the first roll is a total of at least 7…

A: A pair of dice are tossed twice  Sample space = 36

Q: An adult rabbit's average length is 30cm, with a standard deviation of 4cm. How many percent of…

A: Given that  μ = 30 , ? = 4

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x  ;   x≥0

Q: In choosing a positive integer from 100 to 999, what is the possibility of choosing a positive…

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Q: Example: Selecting a Card One card is selected from a standard deck of cards. Determine a) the odds…

A: Let Q be the event of selecting queen cardno.of queen cards=4Total no.of…

Q: Please help with a,bc C. Based on your answer to part (b), choose what the administrator can…

A: Given that  Hypothesized Population Mean (\mu)(μ) = 2424 Population Standard Deviation…

Q: 3 The mass of packages from a particular machine are normally distributed with a mean of 200g and…

A: Given that  X~Normal(μ = 200, ?2=9) μ = 200 , ? = 3

Q: The probability that I miss the bus to work on any day is 0.1.Whether I catch the bus on any day is…

A: Let p be the probability of missing the bus. Given that p = 0.1. Let q be the probability of…

Q: A box has 2 red pens and 4 black pens.  Choosing 2 pens. Find the probability of having 2 red pens.

A: We have given that,  A box contain are, Red pens = 2 and black pens = 4 Then, We will find the…

Q: 8. Which tree diagram shows the possible outcomes of choosing either black or gray shorts and a…

A: Here use tree diagram for represent the outcomes

Q: Assume that 15% of the people in your expedition trip own a mobile phone, and you are randomly…

A: Given that n=2,p=0.15

Q: An urn contains four balls; two of the balls are numbered 1, and the other two are numbered 2. Two…

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Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Solution: The joint pmf of X and Y is  fX,Y(x,y)=(x+y)21     x=1,2,3    and y= 1,2  The pmf of X and…

Q: 3) Consider a die with 6 faces with values 1,2,3,4,5,6. In principle the probabilities to draw the…

A: Probability of drawing the faces  1 2 3 4 5 6 1/6 1/6 1/6 1/6 1/6 1/6   Expected value =…

Q: Assuming a constant failure rate of 0.012 with an exponential probability distribution, if only a…

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Q: Problem 3. A lottery gives you an award if you are able to choose correctly at least 5 numbers out…

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Q: (a) Find a power series representation of F(x) (write down the power series using sigma notation).…

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Q: Without looking at the bags, a young boy reaches into one of them and withdraws a U.S. coin.…

A: here define events  boy reached into Green bag  = G boy reached into blue  bag  = B U.S. coin = S…

Q: Probability: Intersection of Independent Events Determine the following probabilities. Enter your…

A: if two coins are tossed than the possible outcomes areHH, HT, TH, TT

Q: Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

A: Expected value is calculated by the product of random variable with corresponding probability value.…

Q: It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not…

A: As per our guidelines we are supposed to answer only 3 subpart of any questions so i am solving…

Q: 71. Music Each of the 100 students attending a conservatory of music plays at least one of three…

A: Given that, each of the 100 students attending a conservatory of music plays at least one of three…

Q: a) Evaluate the marginal distribution of X and Y. b) Find P(Y/X) and P(X/Y). c) Find P(Y=2/X=3).

A: NOTE : here as per guidelines i have calculated 3 subparts    here given joint distribution of x and…

Q: 12. During a laboratory experiment, the average number of radioactive particles passing through a…

A: Let X be the particles passing through a counter from Poisson distribution with average (λ) = 4…

Q: Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show Cov (X, Y)

A:

Q: A coin purse has 3 OLD one-peso coins and 7 NEW one-peso coins. Suppose you randomly pick a coin and…

A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) > 0 for all i = 1,…

Q: At the beginning of the school year a class of students are asked what foreign languages they have…

A: Obtain the probability that a randomly chosen student has studied French before. The probability…

Q: INSTRUCTION: EXPLAIN THE STEP BY STEP SOLUTION IN SENTENCES/PARAGRAPH. An adult rabbit's average…

A: Let X be the random variable from normal distribution with mean (μ) = 30 and standard deviation (σ)…

Q: A crate has 50 products. There are 4 waste products in this crate. A customer checks the quality of…

A: Given that  Total products=50 Waste products=4 Good products=46 10 products are chosen at random…

Q: Which of the following is true about the probability density function (pdf) of a continuous random…

A: For a continuous random variable of a pdf, f(x) is used for the graph of the distribution. The total…

Q: 28. A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Combination formula : Number of ways to select r subjects from total n subjects is,  Crn =…

Q: Which of the following statements are true about random sampling: O four tosses of an unbiased coin…

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Q: A person applies for a certain job, and the probability that he or she is qualified is 0.285. The…

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Q: Consider the hypothesis test below. Ho : P1 – P2 0 The following results are for independent…

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Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: For the given f( x) find the required probabilities

Q: Find the mean and standard deviation interpretation

A: * SOLUTION : -   * Given that,

Q: Write the Sample space, outcome or event of the ff: 4. Arranging the possible children of a couple…

A: Given that  A couple with 3 children  Find sample space and events second child is girl

Q: Matching questions ask you to match each question on the left with one of the choices on the right.…

A:

Q: Choice a one correct answer from the following Colin is flipping a fair coin. Heads have just come…

A: Here, coin is fair.  Heads have just come up 5 times in a row.

Q: one box contains six red balls and four green balls. let 3 balls are randomly chosen from the box.…

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Q: Use the confidence interval to find the margin of error and the sample mean. (1.70,2.08) ... The…

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Q: Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first three…

Q: Long Term Relative Frequency Number of 991 992 993 994 995 996 997 998 999 1000 Tosses Number of…

A: d) The actual number of heads given in the chart is 515

Q: 6. The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000…

A: GivenMean(μ)=7000standard deviation(σ)=600

Q: You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ >…

A: From the provided information, Sample size (n) = 73 Sample mean (M) = 77.2 Standard deviation (s) =…

Q: Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01…

A: Given  Population mean μ=2.1,  level of significance ɑ=0.01

Q: In a binomial distribution with p=0.02 and n=70, what is the actual probability of three success?…

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Q: from 0.55. You use a significance level of 0.02. Ho:p = 0.55 H1:p + 0.55 You obtain a sample of size…

A: Given that Sample size n =276 Favorable cases x =162 Sample proportion p^=x/n  =162/276 =0.5870

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

A: 9 Chalk=5 pink chalk+ 4 white chalk  n=3=sample  Let X be the number of pink chalk balls  Let p be…