a)When a patient visits the dental clinic, there is a possibility that the patient will be givenmore than one treatment. Suppose x is the number of treatments given to the patient.The following table shows the probability distribution of x in one week..Ii)ii)iii)X1k3If X forms a discrete probability distribution, find the value of k.P(X=X)Find P(X<3).00.0520.353k15Find the average number of treatments given to the patient in three weeks.

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Answered: When a patient visits the dental…

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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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 이 p(x) 0.60 0.14 0.05 0.03 0.18 X 0 1 (a) Calculate the mean value of x. 2 3 4 (b) What is the probability that x exceeds its mean value?
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Nicole has purchased the life insurance policy for her fish for the price of $200 per year and Nicole will receive $4000 in case if her fish passes away. The insurance company estimated the probability of her fish passing away during the length of the policy to be 0.5%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) fish passes away fish survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Q.No.6.a. A discrete variable ‘X’ has the following probability distributionX -4 -1 1 4 6P(X=x) 0.1 0.4 k 2k 0.2i. Find the value of k.ii. P (x=3)iii. P(x≥1)iv. P(-1≤X<5)b. A bag contains 5 blue and 4 red balls, choose 5 balls randomly, if ‘X’ is the number ofblue balls selected.
An appliance dealer sells three different models of upright freezers having 11.5, 14.9, and 20.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution. X p(x) 11.5 14.9 20.1 0.2 0.5 0.3 (a) Calculate the mean (in cubic feet) of x. cubic feet Calculate the standard deviation (in cubic feet) of x. (Round your answer to three decimal places.) cubic feet (b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x8.5, what is the mean price paid (in dollars) by the next customer? $ (c) What is the standard deviation of the price paid (in dollars)? (Round your answer to the nearest cent.) $
Is the following distribution a probability distribution? (x, P(X)) = (-2,1.23); (-1, 0.15) ; (0, -1.20); (1, 0.52); (2, 0.30) There are five ordered pairs: X values and their probabilities for example P(1) = 0.52. X -2 -1 0 1 2 P(X) 1.23 0.15 –1.20 0.52 0.30
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Is this a legitimate probability distribution? P(x) = (2x - 1)/15 x = 0, 1, 2, 3, 4
action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4
A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table: Number of free throws made Probability P(X 1) P(X ≤1) 0 O P(X ≥ 1) 0.09 1 The probability statement representing that she makes at least one free throw is expressed as 0.42 2 0.49

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