Probability Question
Q: You manage a spare parts warehouse for an Electric Car Company. Dealers come by the warehouse to pur...
A: Given, At the start of December, the warehouse contains 10 batteries, 3 of which are not fully charg...
Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with bl...
A: Treating each student as a separate identity 10 students (4 students with blonde hair, 2 students wi...
Q: You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p...
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Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of ...
A: Given, The coming of each faces 5 and 6 is eight times as likely as each of the other numbers. Let x...
Q: . Assume that the box contains balls numbered from 1 through 28, and that 3 are selected. A random v...
A: We make a table Number of oddballs (a) Number of even balls (b) X=3a+4b 0 3 12 1 2 11 2 1 1...
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: Mark averaged 60 miles per hour during the 30 mile trip to college. Because of heavy traffic he was ...
A: Given: Distance to college, d=30 miles Speed while going to college, s1=60 m/hr Speed while returnin...
Q: Select the best suitable answer. If none of the choices represents a correct answer, select the “Oth...
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Q: How many unordered sets are there of two items chosen from four? sets
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Q: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 3 keys ...
A: Given: Number of keys, N=88 Car jumps in a sequence of 3 keys with repetition. The objective is to f...
Q: Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is sel...
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Q: A race consists of 11 women and 7 men. What is the probability that the top three finishers were 2 m...
A: There are total (11+7)=18 persons.We can pick top 3 finishers from 18 persons in 18P3=4896 ways.We c...
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Q: For a fundraiser, 1000 raffle tickets are sold for $2 each with a chance to win $200 in cash. You bu...
A: As per given condition: x P(x) Win= 200-2=$198 11000 Loss=$2 9991000 a). Expected value: E...
Q: A coin is tossed twice. Let EE be the event "the first toss shows heads" and FF the event "the secon...
A: a) When a coin is tossed, then each toss is independent of the other. So the events E and F are ind...
Q: assume the n trails is independent and that p is the probability of success on a given trail. Use th...
A: Given Data: n=5 x=3 p=0.3 The formula of binomial probability is, Px=n!x!n-x!px1-pn-x
Q: A die has been "loaded" so that the probability of rolling any even number is 3/15 and the probabili...
A: Given Information : A die has been "loaded" so that the probability of rolling any even number is 3...
Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12, giv...
A: For the event: the green one is either 1 or 5 and the yellow one is 1: the outcomes are=(1,1),(5,1)...
Q: You wish to test the following claim (Ha) at a significance level of α=0.1. Ho:μ=87.9 Ha:μ...
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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...
A: The given data: A = Event that the red dice shows 5 B= Event that the numbers on both dice add up to...
Q: It is known that the length of time X (in hours) it takes for pizza to be delivered by Domino’s Pizz...
A: Given data: The given expression for the probability density function is (x)=12(x2-x3). a) The expre...
Q: a lottery game has balls numbered 1 through 19 what is the probability that it is a diamond or that...
A: Let X be a random variable denotes the number greater than 3 and less than 10. Thus, A=4,5,6,7,8,9 S...
Q: How many ordered sequences are possible that contain eight objects chosen from eleven?
A: Given that, Total objects = 11 Order matters
Q: A pair of dice is tossed. Find the probability that the sum on the 2 dice is 12, given that doubles ...
A: GIVEN DATA : A pair of dice is tossed. TO FIND : Probability that the sum on the 2 dice is 12,...
Q: In a recent survey, 73% of the community favored building a police substation in their neighborhood....
A: Given that, 73% of the community favored building a police substation in their neighborhood. Thus, p...
Q: Select the best suitable answer. If none of the choices represents a correct answer, select the “Oth...
A: If the code has 5 letters.Then we can select each letter in 26 ways. So we can select 5 letters in 2...
Q: A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% of their ...
A: Let x be the number of flaws x P(X) XP(X) 0 0.80 0 1 0.15 0.15 2 0.05 ...
Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of...
A: Given: Refer to standard Z-table for following values, PZ<-0.50=0.30854 Mean, μ=107.1 cm Standard...
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: Use the counting principle to determine the number of elements in the sample space The possible wa...
A: Given that the question are true-false question.This means each question has 2 options.There are tot...
Q: Find the conditional probability of the indicated event when two fair dice (one red and one green) a...
A: We can get sum 8 for the outcomes=(2,6), (3,5), (4,4) , (5,3) , (6,2)So 5 outcomes give sum of 8.Amo...
Q: A space vehicle is designed to land on Mars. Assume that the ground condition on Mars is either hard...
A: Given : Notation for the event of hard ground as H, soft ground as S, successful landing as L, and p...
Q: In a random sample of six cell phones, the mean full retail price was $482.50 and the standard dev...
A: Confidence interval: Since the population standard deviation is unknown and the sample size is sma...
Q: A bag contains 44 redred marbles, 66 blackblack marbles, 77 greengreen marbles. If one marble is dra...
A: Given that there are 44 red marbles, 66 black marbles, 77 green marbles. So total (44+66+77)=187 mar...
Q: John runs a computer software store. Yesterday he counted 127 people who walked by his store, 58 of ...
A: Given Information: Number of people who walked by his store = 127 Ou of which 58 came in the store. ...
Q: The principal at Riverside High School would like to estimate the mean length of time each day that ...
A: z=critical value of 90% confidence interval=inverse normal of 0.90=1.645ME=margin of error=2standard...
Q: A student goes to the library. Let events B = the student checks out a book and D = the student chec...
A: Given, Event B= the student check out a book Event D=the student check out a DVD PB=.2 PD=.65 PD/B=....
Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...
A: Given, One red and one green dice are rolled Event A= the red die shows 3 Event B= the sum numbers ...
Q: A population of values has a normal distribution with μ=151.5μ and σ=75.8. You intend to draw a rand...
A: Given: X~N(μ,σ)μ=151.5σ=75.8
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