A random variable X has the probability distribution as follows: Find m. * 2 3 4 P(x) 1 m m 4 m 15 15 15 15
Q: Find the mean of the given probability distribution. x| P(x) O 0.26 1 0.11 2 0.16 3 0.05 4 0.42…
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A: Formula : Mean = E(X) = ΣXP(X)
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A: Given PMF of X. Now will using this pmf to find mean.x = [15,20,25,30]p(x) = [0.20,.15,.32,0.33]
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A: Let X represent the number of rooms that are rented out on any given Saturday.
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Q: 2
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A: Solution Step 1: gx(z) = 18z2+12z10+14z20+18z25
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A: (a) The mean is 1.276. (b) The standard deviation is 1.263. (c) The probability histogram is option…
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A: Given: The value of x and P(X=x)
Q: A random variable X has the following probobility dismution. メ 3 4. PX)0-05 0-25 0-4 ? 0-06 Find…
A: The total probability is always 1. So the probability for x=3 is: 1-(0.05+0.25+0.4+0.06)=0.24
Q: Determine whether the following is a probability distribution. x P(x) 1 0.175 2 0.332 3 0.218 4…
A: From the provided information, x P (x) 1 0.175 2 0.332 3 0.218 4 0.382
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Q: B. Directions: Consider the random variable T. Find the following probabilities. 1. P(-to.025 <T <…
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A: Since the question has multiple sub parts we will solve the first part only. Please resend the…
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Q: Six males of whom two are of blood type A, the other two of blood type B and the last two of blood…
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A: X0123P(X=x)0.15k0.350.3
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A: We know that the The Sum of the total probability should be 1. Thus, =P(X=2) + P(X=5) + P(X=6) +…
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Q: For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.
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A: Introduction:The probability of an event in an experiment is the number outcomes in the experiment…
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A: We have to find correct answer..
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Q: riable X has the following probability distribution; x 0 1 2 3 P(X) 0.1 0.4 0.3 0.2 then the mean…
A: The formula of the mean is:
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Q: What are the probability distribution of X and Y? Are they independent?
A: Since ,the joint probability distribution of X and Y is given by, 1 2 3 Total 1 0.32 0.03…
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A: Given, n is 37 , p is 3% = 0.03 By using binomial distribution.
Q: B. Can the able be a probability distribution for the random variable X? P(¤) 1 0.2053 -0.1625…
A: We have given that table. X 1 2 3 4 5 P(x) 0.2053 0.1625 0.4037 0.3473 0.2062
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A: we know that total probqability is equal to one .∑P(X)=1
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Q: Suppose x is a random variable best described by a uniform probability distribution with c=0 and…
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- Suppose that the random variable x, shown below, represents the number times. P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 43 x P(x) = 0 1 2 3 > Next Question 4 5 6+ 0.2951 0.2587 0.1924 0.1604 a) What is the probability that a randomly selected person has received five tickets in a three-year period? P(x = 5) 0.0492 0.0442 0.0000 b) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = c) What is the probability that that a randomly selected person has received more than zero tickets in a three- year period? P(x > 0) d) What is the probability that that a randomly selected person has received one or less tickets in a three-year period? P(x ≤ 1) =A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…The joint probability distribution function of X and Y is given by: 1 2 3 1 0.05 0.06 0.10 X 2 0.13 0.21 0.30 a. Find the conditional distribution of Y given X = 1 b. Find the conditional distribution of X given Y = 2 5 0.02 0.03 0.10
- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
- A random variable Y is given with its probability distribution. Find the value of 100q. 1 3 3q q Y P(Y) 0 0.35 2 0.25 4 9Find the probability that no tires have low air pressure.The probability distribution of random variable, X, is defined as follows: X 0 1 2 3 4 Probability 0 .3 .1 .3 .3 The P(X = 0) =?