For the question 9 & 10 -Referring to the following table: X P(x) 5 0.1 0.3 0.2 0.4 10 15 20 9) What is the mean of the above probability distribution? a) 12.5 b) 13.5 c) 14.5 d) 15.5 10) What is the variance of the above probability distribution? a) 22.75 b) 27.25 c) 32.05 d) 33.55
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- A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8The ages of students in a middle school have the following probability distribution: x 12 13 14 15 P(x) 0.25 0.29 0.32 0.14 a) What is the probability a student chosen at random is no less than 13 years old? b) What is the mean age of the students in middle school? c) What is the standard deviation for the ages of the students in the middle school?If the mean of the following probability distribution is 3.44, what is the variance?
- The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Refer to chart below. Number of accidents daily (X) P(X=xi) 0 0.30 1 0.35 2 0.17 3 0.07 4 0.05 5 0.04 6 0.02 A.) Compute number of accidents a day B.) Complete standard deviation C.) What is the probability that there will be at least 2 accidents on a given day? Don't roundThe following table represents a Discrete Probability Distribution for the number of days it takes John’s Garage to repair vehicles for its customers. Number of days to repair a vehicle 1 2 3 4 5 6 7 Probability 26.7% 33.6% 15.8% 13.7% 6.3% 2.4% 1.5% With the aid of a table, calculate the following mean variance, and standard deviation1. The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete Parts (a) through (c) below. a.) Compute the mean number of accidents per day using the table below Number of accidents Daily (x) 0-Nm Jha 6 P(X = Xi) 0.26 0.3u 0.19 0.08 0.07 0.04 0.02 # Please use excel to answer question
- consider the following Probability Distribution for Sales table probability: .3 .24 .14 .21 .11 sales: 29 35 55 66 80 find E(x), variance and riskinessFind the mean and variance of the following discrete random variable distribution.? ?(?)0 0.35 1 0.45 2 0.16 3 0.04A student who is taking a stats class was assigned to watch the cars driving along Pereira Drive and count the number of people who are in each cars. Let Y be the number of people in a given car that the student observe. The following table shows the cdf of Y: 1 3 4 P(Y < y) 0.06 0.32 0.71 0.88 1 (a) What is the probability that a given car has 2 people in it? (b) What is the probability that a give car has 3 or more people in it. (c) What is the expected number of people in a given car that the student observe.