X20 21 22 23 24F(x) 16 9 138 4Let x be the ages of students in a class. Given thefrequency distribution F(x) above, determine thefollowing probabilities:(a) P(x ≤ 23) =(b) P(20 ≤ x < 22) =(c) P(x > 21) =

Given: x 20 21 22 23 24 P(x) 16 9 13 8 4 The formula for probability is as:…

Answered: X 20 21 22 23 24 F(x) 16 9 13 84 Let x…

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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If A and Bare events with P(A) 0.6, P(A OR B) 0.98, P(A AND B) 0.02, find F(B). Provide your answer below: .4 9 FEEDBACK
1. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?
b. The table below shows the probability distribution of the number of stores visited per customer per single visit to the mall. Assume that a customer can visit at most four stores per single visit to the mall. Number of stores visited per customer per single visit (x) Probability P(x) xP(x) (x-μ)²p(x) 0 0.04 1 0.41 2 0.40 3 0.09 4 0.06 i. Using the table above, compute the expected number of stores visited per customer per single visit to the mall for the above distribution. ii. Using the table above, compute the standard deviation for the above distribution.
Example 2 For the data shown in frequency table (2), determine the following: 1-graph histogram and polygon for frequency and probability then find the probability of (13.5
Find the highest possible value for x in the set 8.2, 7.7, 6, 4.8, 8.2, 5.8, 9.2, 7.3, 6.2, 8.1, 5.5, and x such that the mean of these scores is 7.
The profits of a mobile company are normally distributed with Mean of R.O (180) and standard deviatic of R.O (8). a. Find the probability that a randomly selected mobile has a profit greaterthan R.O ( 190). b. Any mobile phone which profit is greater than R.O (190) is defined as expensive. Find the probability that a randomly selected mobile has aprofit greaterthan R.O ( (200) given that it is expensive. Half of expensivemobile phones have aprofit greaterthan R.O h. Find the value of h. C.
X 18 19 20 21 22 F(x) 20 5 825 Let x be the ages of students in a class. Given the frequency distribution F(x) above, determine the following probabilities: (a) P(18 ≤ x < 20) = 0.825 (b) P(x = = 20) = 0.2 (c) P(x <22) = 0.875 CU CU
1Example 23. A distribution x1, X2,..., Xp., Xp with frequencies, fp f2,..., f..., fn is transformed into the distribution y1, y2,.….., Y,.., yn with the same corresponding frequencies by the relation y, = ax, + b, where a and b are constants. Show that the mean, median and mode of the new distribution are given in terms of the first distribution by the same transformation.
2. The following probabilities are given for a certain life: 10P75 = 0.55, 20 P60 = 0.35, and = 0.65 15P 60 Evaluate (i) the probability that the life aged 60 will die between ages 75 and 85. (i the probability that the life aged 60 will die within age 80.
1

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X 20 21 22 23 24 F(x) 16 9 13 84 Let x be the ages of students in a class. Given the frequency distribution F(x) above, determine the following probabilities: (a) P(x ≤ 23) = (b) P(20 ≤ x ≤ 22) = (c) P(x > 21) =