1. Complete the table below by finding the variance and standard deviation of the following probability distribution. P(X) X P(X) (xla x 19 0.2 20 0.2 21 0.3 22 0.2 23 0.1
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![1. Complete the table below by finding the variance and standard deviation
of the following probability distribution.
P(X)
X P(X)
(xla X
19
0.2
20
0.2
21
0.3
22
0.2
23
0.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc112603e-06fc-45d3-8c2e-8599c0330819%2Ffa838aa2-e4f7-4521-9a29-cc8fcbab26c7%2F02dkaxp_processed.jpeg&w=3840&q=75)
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- In the following probability distribution, X represents the number of calls a telemarketer makes in a day, and the probability they make that many calls. П. 75 0.05 X 100 50 0.01 125 150 175 P(X) 0.15 0.20 0.30 a) Find P(X=175) b) Find E[X] ( c) Find the Variance and Standard Deviation ofXLet x be the number of courses for which randomly selected student at a university is registered. The probability distribution of x appears in the following table. ( all students must be enrolled in between 1 and 7 classes ) x. 1 2 3 4 5 6 7 P (x) ( 0.02 ) ( 0.04 ) (0.09 ) (0.24) ( 0.39 ) ( 0.17 ) ( .05 ) a. Find mean (x) ( round to two decimal places ) B. Find standard deviation of x ( round to two decimal places ) c. What is the probability that x is within 1 standard deviation of the mean? In other words solve: p ( mean of x - standard deviation of x < x < mean of x + standard deviation of x )=Find the variance and standard deviation of the following probability distributions. X P(X) X*P(X) X2 X2*P(X) 1 1/4 2 1/8 3 1/8 4 1/2 Choices 6.15 ; 2.48 3.48 ; 1.27 1.61 ; 1.27 1.61 ; 2.48 2.24 ; 7.18 3.48 ; 1.87
- Find the mean, variance and standard deviation for the probability distribution given below: X -3 3 8 10 P(X) 0.597 0.13 0.215 0.058 A. Mean = B. Variance = C. Standard Deviation =A researcher recorded the number of shots made, X, out of 10 free throws by a sample of 1000 randomly selected college students. The table below is a probability distribution table representing the data collected. Calculate the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. x P(x) 0 0.01 1 0.01 2 0.02 3 0.04 4 0.03 5 0.05 6 0.21 7 0.29 8 0.21 9 0.08 10 0.05Find the variance and standard deviation of the following random variable. Hint: start by writing the distribution for the random variable X2 . x P(X = x) 0 0.5 1 0.2 2 0.3
- The Sarasota Police department collected data on the number of car accidents (X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. X P(X) 0.80 1. 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? O 0 50 1.00 O 0.33 O 0.25 O o Oconsider the following Probability Distribution for Sales table probability: .3 .24 .14 .21 .11 sales: 29 35 55 66 80 find E(x), variance and riskinessLet x be a Poisson random variable. Calculate the probability distribution of x for the given 2. Find the mean, variance, and standard deviation. Draw a graph of this probability distribution. 2 = 2.1 Round the probability to four decimal places and the standard deviation to three decimal places. P(x = 2) = i Mean = i Variance = i Standard deviation = i P(x) P(x) 0.25 0.8 0.20 0.6 0.15 04 0.10 0.2 0.05 O1 2 3 4 O1 2 3 4 567S 10 10 Fig. 1 Fig. 2 P(x) P(x) 0.35E 0.30 0.15 0.25 0.20 0.1아 0.15 0.10 0.05 0.05 O 1 23 4 56TS 9 10 10 Fig. 3 Fig. 4 Input the number of the correct graph.
- The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? LeSuppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one week is given by the following table. x 1 p(x) 2 3 4 5 0.06 0.10 (a) Find the mean value of x (the mean number of systems sold). 0.11 0.30 6 7 8 0.29 0.12 0.01 0.01 (b) Find the variance and standard deviation of x. (Round your standard deviation to four decimal places.) variance standard deviation How would you interpret these values? (Round your standard deviation to four decimal places.) The mean squared deviation from the mean number of systems sold in one week is A typical deviation from the mean number of systems sold in one week is (c) What is the probability that the number of systems sold is within 1 standard deviation of its mean value? (d) What is the probability that the number of systems sold is more than 2 standard deviations from the mean?A fitness center bought a new exercisemachine called the Mountain Climber. Theydecided to keep track of how many people used themachine over a 3-hour period. Find the mean, variance,and standard deviation for the probability distribution.Here X is the number of people who usedthe machine. X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1
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