let X be a random variable with the following probability distribution: -3 6 (1) | 1/6 1/2 1/3 Find H9(x), where g(X) = (2X +1)?.
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4.17. Let X be a random variable with the following probability distribution:
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- 1. Consider the following probability distribution for the continuous random variable, X. 1 حا 4 5 X a. Find P(2 < X<4) (4-2) 4-10.9= 0.5 b. Find P(4 < X <5) 50.25 6= 0.25 c. Find P(X<4) -3.0Which of the following is a continuous random variable? A)The number of students arrives to the library checkout desk before noon time. B)The number of students waiting in the cafeteria lane for lunch. C)The travel time of a bus between two cities. D)The number of newspapers sold on a specific date. E)The number phone calls received by call center for a certain period of time.6.50 Binomial needs fixed n For the binomial distribution, the number of trials n is a fixed number. Let X denote the number of girls in a randomly selected family in Canada that has three children. Let Y denote the number of girls in a randomly selected family in Canada (that is, the number of children could be any number). A binomial distribution approximates well the probability distribution for one of X and Y, but not for the other. a. Explain why b. Identify the case for which the binomial applies and identify n andp. m vori
- 32 - The random variable X, which shows the grades of the students in a class in the exam of the statistics course, has a normal distribution with a mean of 80 and a variance of 25. Which of the following is the lowest grade with a probability of 0.3015? a) 32.5 B) 55 NS) 82.5 D) 68 TO) 896.50 Binomial needs fixed n For the binomial distribution, the number of trials n is a fixed number. Let X denote the number of girls in a randomly selected family in Canada that has three children. Let Y denote the number of girls in a randomly selected family in Canada (that is, the number of children could be any number). A binomial distribution approximates well the probability distribution for one of X and Y, but not for the other. t al a. Explain why. b. Identify the case for which the binomial applies and identify n and p.plz provide handwritten answer for part b
- 2 of 4 (0 complete) Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. O B. It would not be unusual because the probability of having no HD televisions is more than 0.05. OC. It would not be unusual because 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.• Investment in 5 Internet business ventures • The number of successful ventures has a probability distribution: x 0 1 2 3 4 5 P(x) .002 .029 .132 .309 .360 .168 • Estimate the probability that x falls within 2 standard deviations of the mean.2. Give the probability generating function for an offspring distribution in which an individual either dies, with probability 1- p, or gives birth to three children, with probability p, Also find the mean and variance of the number of children in the fourth generation.