Probability Question
Q: Show that 14C5 x 5! = 14P,. %3D
A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!
Q: A spinner is broken into sections labeled 1 to 29. What is the probability that, on your next spin,...
A: A spinner is broken into sections labeled 1 to 29. The number less than 7 are 1, 2, 3, 4, 5, 6.
Q: Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest ...
A: We make a table using the given information. Payment 0 49,518 Probability 95.5%=0.955 (1-0.955)...
Q: Consider a bag containing five red marbles, three green ones, one transparent one, three yellow ones...
A: The five marbles(none of them are red or green) to be selected from a bag containing 5 ...
Q: A) Let Dn be the number of permutations with no i in the ith position. Show by a combinatorialargume...
A:
Q: A certain country's postal service currently uses 5 -digit zip codes in most areas. How many zip cod...
A: From the provided information, A certain country’s postal service currently uses 5-digit zip codes i...
Q: Find the probability of randomly selecting 3 students from Utah out of a group of 12 students, 5 of ...
A:
Q: If 10% of the time Danny makes guacamole twice a month, 35% of the time he makes guacamole once a mo...
A: Using the given information we make a table Number of times (xi) 2 1 0 probability (pi) 10%=0.1...
Q: The tree diagram shows a testing procedure on calculators, taken from a large batch. 1 Each time a c...
A: From the given information, the probability that it is faulty (F) is 1/20. The probability that it i...
Q: 2. Create a scatterplot of the data. 3. Identify a characteristic of the data that is ignored by the...
A: From the given table: Sum of X = 99Sum of Y = 100.12 Mean X = 9 Mean Y = 9.1018 X-Mx Y-My (X-Mx)2...
Q: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean o...
A: The given data: Mean, μ = 10 minutes The exponential probability distribution is given as: PX≤x=1-e-...
Q: Suppose that speeding imposes externalities on other people resulting in a social cost of $50. A tow...
A: We have given that, the speeding imposes externalities on other people resulting in a social cost of...
Q: You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:p1=p2 ...
A: Denote p1, p2 as the true population proportions first and second populations, respectively. Null hy...
Q: A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.14 inch...
A: Part (a) Express the mathematical expression for population mean. Population Mean =Sample Mean±sampl...
Q: An individual is playing a game that involved spinning a wheel with 7 sections. 6 of the sections ar...
A: Given data: The total numbers of sections in the spin are n=7. The silver section in the spin is r=...
Q: An article in the San Jose Mercury News stated that students in the California state university syst...
A: Given Information: Population mean (u) = 4.5 years Sample size (n) = 47 Sample mean (x) = 5.1 years ...
Q: 6. How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?
A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:
Q: 300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the...
A: As due to the honor code we are authorized to answer only 3 subparts for each question and that you ...
Q: Use the tree diagram to find the requested probability. 10. Find P(Y|B). Give your answer as a decim...
A: Given: P(X)=0.8P(Y)=0.2P(AX)=0.4P(BX)=0.6P(AY)=0.9P(BY)=0.1 The objective is to find P(YB)
Q: An amusment park worker tries to get you to play his game. If he is able to guess your birth month, ...
A: An amusment park worker tries to get you to play his game. If he is able to guess your birth month, ...
Q: find the value of the probability of the standard normal variable Z corresponding to the shared area...
A: P(Z< 1.74) = 0.9591(Using Excel = NORM.S.DIST(1.74,TRUE)) P(Z< -1.32) = 0.0934(Using Excel = N...
Q: If n people enter a room, find these probabilities:A: None of the people have the same birthdayB: At...
A: Number of days in a year=365 The sample space of n people=n(S)=365n A= event that none of the people...
Q: The lifetime of a widget, measured in thousands of operating hours (OH), is modeled as a Weibull ran...
A: As given the lifetime of a widget, measured in thousands of operating hours (OH), is modeled as a We...
Q: A single die is rolled three times. What is the probability that a 3 will show on the upward face at...
A: GIVEN DATA : A single die is rolled three times. TO FIND : Probability that a 3 will show on t...
Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no sol...
A: Given system of linear equations: 4x+6y =−4 3x−2y =−16 x+3y=2 Solving it using the Gauss-Jordan elim...
Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the probabil...
A: Let us denote X=the number of patients having the operation surviven=sample size=7p=probability of s...
Q: An experiment is conducted for which the sample space is s= {a,b,c,d}. Decide if the given probabili...
A: Given, Sample space, S=a,b,c,d pa=18,pb=14,pc=14,pd=12 As per axiomatic approach to the probability,...
Q: Suppose we have 10 subjects and the probability of having a disease at one point in time for 1 subje...
A: Hi, there seems to be a typo in the question so I'll solve this question for 2 probabilities. Given...
Q: Find the mean value of x Find the standard deviation of x Find the probability that at least 1 stud...
A: Mean of probability distribution is given by, EX=∑i=1nxipxi =0×.1+1×.1+5×.3+10×.5=.1+1.5+2=3....
Q: You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:p1=p2 Ha:p...
A: Denote p1, p2 as the true population proportions of first and second populations, respectively. Null...
Q: Consider two random variables X and Y with the range Rxy = {(i, j) € Z² | i,j> 0, |i – j| < 1}, and ...
A: Let X and Y be two discrete random variables, with range: RXY=i, j∈Z2| i, j≥0, i-j≤1 And joint PMF g...
Q: This is a discrete math (combinatorics and discrete probability) problem. Please explain each step i...
A: Let A be the event that THH comes before TTH: According to law of total probability: PA=PA|HPH+PA|TP...
Q: This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. ...
A: The normal distribution curve corresponding to mean 8.3 and standard deviation 0.5 including the req...
Q: Select all the groups of a number that are ordered correctly from least to greatest
A: Check each group of numbers from least to greatest. 1) 2, -4, 6, -8 In this set -8 is the least whic...
Q: Find the conditional probability of the indicated event when two fair dice (one red and one green) a...
A: When a die is rolled there are 6 possible outcomes 1,2,3,4,5,6. When three dice are rolled then the ...
Q: According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the bi...
A: Null hypothesis: P = 0.467Alternative hypothesis: P≠0.467 Note that these hypotheses constitute a tw...
Q: Find the conditional probability of the given event when two fair dice (one red and one green) are r...
A: Given that two fair dice (one red and one green) are rolled.
Q: Compute the conditional probabilities P(A|B) and P(B|A). (Round your answers to three decimal places...
A: Given Data: The probability of A is: P(A)=0.7 The probability of B is: P(B)=0.4 The probability of A...
Q: Ellen Davis Jones studied the effects of reminiscence therapy for older women with depression. She s...
A: Pre (X) Post (Y) D (D-Dbar)^2 12 11 -1 1 10 10 0 4 16 11 -5 9 2 3 1 9 12 9 -3 1 18 13 -5...
Q: Consider the given event. Two indistinguishable dice are rolled; the numbers facing up add to 8. How...
A: We can select 2 different numbers from 6 numbers in 6C2=15 ways.We can select 2 same numbers in 6 wa...
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