P Please define two mutually exclusive and collectively exhaustive events for an experimentinvolving rolling a dice.2. 1.1. 3.`A computer software is requiring the user to create an eight-character password.a. How many different passwords are possible if the user only uses lower case letters of Englishalphabet?b. How many different passwords are possible if the computer is requiring the user to use at leastone number and one uppercase letter?3.How many different 3-people groups can the instructor form?4.B, C, D, and E function independently. If the probabilities that A, B, C, D, and E fail are 0.10, 0.05,0.10, 0.20 and 0.15, respectively, what is the probability that the system functions?A lecturer is forming laboratory experiment groups for a class section that has 36 students in it.1.A system consists of five components connected as shown in the following diagram. ASsume A,CBА

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Answered: P Please define two mutually exclusive…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let A and B be two events in the sample space ( S ) , with P ( A ) = 0.72 , P ( B ) = 0.68 and , P ( A U B ) = 0.80 , then find the value of P ( A | B )
Binomial distribution.9% of men cannot distinguish between the colours red and green. This is the type of colour blindness that causes problems with traffic signals. If 6 men are randomly selected for a study of traffic signals perceptions, find the probability of:a) Exactly 2 men cannot distinguish between red and green
A fair, six-sided die is rolled. Describe the sample space S, identify each of the following events with a subset of S and compute its probability (an outcome is the number of dots that show up). S = {1, 2, 3, 4, 5, 6} A. A = {2, 4, 6} P(A) = B.B = P(B) = C. A’ = P(A’) = D.P(A | B) = E. P(B| A) = F. A ∩ B+ G=P(A ∩ B) = H. A ∪B= P(A ∪ B) = I. P(A ∪B′)= A = {2. 4. 6} B = {1, 2, 3} B’ = {4, 5, 6}
Quickly please
ACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TO A GIVEN RANDOM VARIABLE NAME: . TRACK/STRAND & SEC.: SCORE: (HOW MANY SIBLINGS DO THE LEARNERS HAVE) In your Statistics class, the teacher wants to know the number of siblings the learners have. Teacher: How many of the class have 0 sibling? Class: (There were 2 learners who raised their hands.) Teacher: How many of you has 1 sibling? Class: (There were 10 learners who raised their hands.) This continues until 7 siblings. Suppose that we have the following table of frequencies. Let us use W to represent the number of sibling/s. Probability of the jRandom Variable (W) P(W) 2/50 = 0.04 = 4% 10/50= 0.2% = 20% 28/50=0.56%=56% 5/50=0.1 = 10% 3/50=0.06 6% 1/50=0.02 = 2% W= Number of siblings Frequency %3D 1 10 %3D 28 3 4 3 %3D 1 7 1 1/50-0.02 2% Total
Consider the following experiment: Roll a pair of fair dice. Event A is getting an even sum. Event B is getting a sum of 8. Are these two independent events?
A and B are both events in sample space S. P(A) = 0.4 P(B) = 0.3 P(AandB) = 0.2 What's the probability of either A or B occuring?
"A population comprises of 9 people. Their IQ scores were recorded as 95, 135, 70,85,90,100,100, 110 and 115.What is the probability that a person who takes the test will score between 90 and 110? Chosse closest possible answer." 72.34% 21.12% 15.34% 42.46% 50.12% correct option?
1. TOSSING THREE COINS Suppose three coins are tossed. Let Y be the random variable representing the number of tails that turn up. Find the values of the random variable Y. Complete the table below. POSSIBLE OUTCOMES VALUE OF THE RANDOM VARIABLE Y (Number of Tails)
In tossing 2 fair coins, what is the expected number of heads? Let the random variable X represent the number of heads.
Have you ever re-gifted? According to Webster's dictionary 're-gift is to give a gift you received to someone else. Suppose you take a random sample of 1000 adults and get the following results: Yes - Regifted No - Regifted Total 400 Female Male Total 160 240 400 240 360 600 600 1000 Which of the following statements is true? Select one: O The events Regift and Female are dependent because P(Regift) = P(Regift|Female). O The events Regift and Female are independent because P(Regift) = P(Regift|Female). %3! O The events Regift and Female are dependent because P(Regift) + P(Regift Female). O The events Regift and Female are independent because P(Regift) + P(Regift|Female).
Binomial distribution.9% of men cannot distinguish between the colours red and green. This is the type of colour blindness that causes problems with traffic signals. If 6 men are randomly selected for a study of traffic signals perceptions, find the probability of:a) Exactly 2 men cannot distinguish between red and green.b) At least 1 man cannot distinguish between red and green

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P Please define two mutually exclusive and collectively exhaustive events for an experiment involving rolling a dice. 'B.