Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or software.(a) P(Z < 1.2)(b) P(Z > -1.4)(c) P(|Z| < 1.3)(d) P(Z >0.6)(e) P(-1.4≤Z≤ 1.2)(a) P(Z <1.2)=(Round to four decimal places as needed.)

Z has follows standard normal distribution with mean zero and standard deviation one.Note: According…

Answered: Find these probabilities fo (a) P(Z <…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a study, 58% of all males between the ages of 18 and 24 live at home. (Unmarried college students living in a dorm are counted as living at home.) Suppose that a survey is administered and 152 of 226 respondents indicated that they live at home. (1a) P(X≥152)=__________ (Round to four decimal places as needed.) (1b) Do the results from part (a) contradict the study? yes or no
I ONLY need help with parts (c) and (d) on this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable.
For each p value stated below (1) what is the decision for each if α=.05 and (2) what is the decision for each if α=.01? (a) p=.1000 (b)p=.0050
A call center hires 10 call agents and owns 11 head sets for its call agents to use. Each call agent needs a head set. But the head sets are too old that they do not function well with a probability of 5%. Assume that the problem occurrence is inependent across head sets. Hint Use the following formulae Pr(X = x) = = n! = (2) p² (1 − p)²-² n! x!(n - x)! nx (n-1) x (n-2)xx2x1 and approximate (0.95)≈ 0.63, (0.95)¹0≈ 0.60 and (0.95)¹¹ ≈ 0.57. (a) Let X be the number of head sets functioning well. What are the parameters for the binomial distribution for X? (b) Calculate the expected number of head sets that function well. Do you think that the call center has enough head sets? (c) Calculate the probability that only one head set is not functioning well (d) Calculate the probability that 10 head sets or more are functioning well. (e) Calculate the probability that there are NOT enough functioning head sets. (f) Suppose that a head set is lost. Now only 10 head sets are available. Calculate…
Consider the following function for a value of k.f(x) ={3kx/7, 0 ≤ x ≤ 1 3k(5 − x)/7 , 1 ≤ x ≤ 30, otherwise.Comment on the output of these probabilities below, what will be theconclusion of your output.(i)Evaluate k.(ii)find (a) p(1 ≤ x ≤ 2) (b) p(x > 2). (u) p(x ≤ 8/3).
assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =
P9
In baseball there are many ways to estimate what a team's winning percentage (w) should be against its opponents, given the total runs it has scored and the total runs it has allowed in a certain number of games. Bill James's Pythagorean Formula for the winning percentage estimator is given below. wpe = w = [(# runs scored)2]/[(# runs scored)2 + (# runs allowed)2] A team has currently scored 369 runs and allowed 329 runs. If the team does not allow any more runs for the rest of the season, how many additional runs must they score in order to have a wpe of 80%? (Hint: Let x = the number of runs additional scored.)
For Discrete Math
(d) P(|Z|>0.7) = (Round to four decimal places as needed.) (e) P(- 1.1sZs1.2) = (Round to four decimal places as needed.)
P(X < 4), n = 6, p = 0.7
For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?

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Find these probabilities fo (a) P(Z < 1.2) (b) P(Z > -1.4) (c) P(|Z| < 1.3) (a) P(Z <1.2)= (Round to four decimal p