Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(z > 1.49) = | P (Z s -155) P (0.32 < z < 1.97) = |
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- The probabilities of all the values of a random variableX must: OA. average to a small and negative number. OB. add up to 1. OC. average to 0. D. none of the above,Quickly pleaseSuppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03
- Let Z be a standard normal random variable. Find the following probabilities. P(Z<1.48). P(Z<−0.25) P(Z>165) P(0.6<Z<1.67)Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X2), n = 6, p = 0.2Let 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.
- Use the following information for the next 3 questions. The random variable x is the number of books sold in an hour at a local book store. Its probability distribution is as follows. Books Sold (x) Probability P(x) 0.01 2 0.24 3. 0.12 4. 0.16 5n 6. 0.01 0.14 7. O.11 0.21 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the standard deviation for the number of books sold in an hour at that local book store. 18. Give the maximum and minimum number of books they could expect to sell in an hour. (Round to the nearest tenth.)Let the random variable T follow a Student's t distribution with 9 degrees of freedom. State the distribution of the random variable T. Group of answer choices T∼Student′st(9) T∼Student′st(8) T∼Normal(0,1) T∼Student′st(0,1) Compute the probability that T is between −0.1 and 0.6. True or False: The larger the degrees of freedom in a Student's t distribution, the closer to a standard normal distribution the Student's t distribution becomes.In a pizza takeout restaurant, the following probability distribution was obtained. The random variable z represents the number of toppings for a large pizza. The table below is partially completed. Finish it and use it to find the mean and standard deviation. P(x) | xP(x) (x – µ) | (r – µ)° (2 - 4)°P(@) 0.14 -2.66 7.0756 0.990584 0.04 0.04 -1.66 2.7556 0.110224 2 0.24 0.48 -0.66 0.4356 0.104544 3. 0.18 4 0.40 Mean = 2.66 and Standard Deviation = 1.39 Mean = 0.52 and Standard Deviation = 1.39 Mean = 2.66 and Standard Deviation = 1.94 Mean = 0.52 and Standard Deviation = 1.94 Mean = -2.66 and Standard Deviation = 1.94