In Alpha College, students are required to join at least one school club to get extra-curriculum activities' marks.Suppose the following table represents the probability distribution function of the number of clubs (X) astudent join:124P(X = x)0.12kk + 0.1kFind the valueof k.Please help with (d) (e) (f)(а).(b) at is the prebability that a stadent jeinIs at mest two clubs?(c) And ECX), Var(X and o(X).I have alrdy done a-c(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let Y bethe total membership fee a student pay. Compute E(Y) and o(Y).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).

Given information: x 1 2 3 4 P(X = x) 0.10 2k k + 0.1 k

Answered: In Alpha College, students are required…

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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A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. Number of Sales f(x) = X 0 1 2 0 3 1 4 2 3 4 Total Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial probability distribution. The binomial probability function presented in Chapter 5 is n! x!(n - x)! For this exercise, assume that the population has a binomial probability distribution with n = 4, p = 0.30, and x = 0, 1, 2, 3, and 4. (a) Compute the expected frequencies for x = 0, 1, 2, 3, and 4 by using the binomial probability function. Expected Frequencies 0.2401 0.2646 Observed Frequency 0.0708 (days) p*(1-P)^-x. X 32 33 26 6 3 100
Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x f(x) 0 1/15 1 2/15 2 2/15 3 3/15 4 4/15 5 3/15 Calculate the expected utility. (Round to two decimal places)
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Find the probability P(Ec) if P(E)=0.17.
zample 3: Alexis is selling girl scout cookies. She has kept track of the number of boxes of cookies at her customers have purchased over the last 2 years. She wants to use this data to help edict how many boxes of cookies a new customer might purchase. The table below summarizes exis' data, with the number of boxes that a customer might purchase along with the rresponding probability that they will purchase that number of boxes based on her previous les. Use this information to answer the following questions. Outcomes: 2 3 4 5 6 7 8 X = x Probability: P(X = x¡) 0.21 0.16 0.32 0.11 0.08 0.05 0.04 0.02 0.01 a) Construct a probability histogram of the data in the table above and comment on the shape. ) What is the probability that a randomly selected customer will purchase 3 boxes of cookies? What is the probability that a randomly selected customer will purchase at least 4 boxes of cookies? What is the probability that a randomly selected customer will purchase anywhere from 2 to 5…
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule

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