Probability Question
Q: Suppose that you have a fair 4-sided die, and let X be the random variable representing the value of...
A: Given, P(X=k) = 14 The moment generating function is: MX(t) = E(etX) = 14(et+e2t+e3t+e4t)
Q: A general merhandise chain store wants to know if two if its local stores’ sales profiles are simila...
A: NOTE: As per the guidelines, we are supposed to solve the first question only. 1). Given: μ=populati...
Q: The average male hippopotamus (Hippopotamus amphibius) weighs about 1500kg. Let's assume μ = 1500 an...
A: Given: μ=1500 and σ=275. a) Here,PY>1736=PY-μσ>1736-μσ=PZ>1736-1500275=PZ>0.86=1-PZ≤0.86...
Q: Of 150 employees of a store located in downtown Boston, 54 people take the subway to work, 36 take t...
A: As per the guidelines we are allowed to solve maximum of 3 subparts If you need help with another su...
Q: Can somebody please explain how and what I did wrong ?
A:
Q: Use the given information to draw a Venn diagram. n(A ∩ B ∩ C) = 3, n(A ∩ BC ∩ C) = 8, n(AC ∩ BC ∩ ...
A: Given Information: n(A ∩ B ∩ C) = 3, n(A ∩ BC ∩ C) = 8, n(AC ∩ BC ∩ C) = 5, n(AC ∩ B ∩ CC) = 10, ...
Q: On any occasion when a particular gymnast performs a certain routine, the probability that she will ...
A: Probability that the gymnast will perform a certain routine correctly is p = 0.65. (i) Let, X = Numb...
Q: The lifetime of a lightbulb can be modeled with an exponential random variable with an expected life...
A: Here, Expected lifetime = 1000 So, λ=11000
Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer...
A:
Q: Take two numbers x and y at random between the interval (0,1) and find the probability that the prod...
A: GivenX, Y are Uniformly distributed from (0,1).Let variable Z be such that Z=XY.As X, Y are between ...
Q: 20. What does standard deviation measure in a probability distribution?
A: Probability distribution: A statistical function which describes the all possible values of the data...
Q: please help me ,thanks
A: Given: each dot has a outcome probability of 132 To find a) P(A) b) P(B) c) P(A n B)
Q: if a test is weighted at 25% and I make a 55 on the test with my current grade being a 82, would is ...
A:
Q: For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The...
A: Given: For the first two hours of the day, the arrival rate at the donut shop is 10 customers per ho...
Q: The graph to the right is the uniform probability density function for a friend who is x minutes lat...
A: The concept used in this situation is uniform distribution. The uniform distribution is sometimes ca...
Q: A 13-hand card is dealt from a well shuffled deck of 52 cards. What is the probability that the hand...
A: We know that there are 13-hand card is dealt from a well-shuffled deck of 52 cards which contain 4 s...
Q: Hotels H and K offer Deluxe and Superior rooms for a group of 200 tourists. A total of 90 tourists s...
A: Hotel H and K offer Deluxe and superior rooms for a group of 200 tourists. A total of 90 tourist sta...
Q: Give me some examples of an experiments or activities wherein we can apply the computation of probab...
A: Given : Random Variable and random experiment To Find : Computation of probabilities of a random v...
Q: It was found that among Kenyans 22% have Blood type AB. What is the probability that exactly 5 out o...
A: From the given information, P(Blood type AB)=0.22 There are 12 randomly selected Kenyans will have t...
Q: Given the probability density function of X : -1sxs0 2 S« (x)=< x20 a. Find the probability density ...
A: a) The given function is fX(x) = 12-1≤x≤012e-xx≥0 The probability density of Y = X2 is as follows: ...
Q: Let U = {1, 2, 3, 4, 5, 6, 7, a, b, c, d, e}. If A = {1, 2, a, e} and B = {1, 2, 3, 4, a, b, c}...
A: We know, If X is a set. Then n(X) means number of items in that set. And suppose U be an universal ...
Q: The group of students who are selecting 2 of their group at random to give a report, but assume that...
A: Given: The group of students who are selecting 2 of their group at random to give a report, but assu...
Q: In a class of 100 graduating students, 54 studied Physics, 69 studied Biology and 35 studied both Ph...
A: 1. Let P be the students studies physics, B be the student studies biology. There are totally 100 gr...
Q: Use Cayley-Hamilton to find B4 and B-1 . Where [1 B = 0 1' 1 - 3 -1
A: It is given that B=12-101-13-11 The characteristic equation is given by: B-λI=01-λ2-101-λ-13-11-λ=01...
Q: 10)The cost per bushel of corn at Farm A is constant. The graph shows the total cost, C, in dollars,...
A: Y = ax + b ============ Where , a = independent variable
Q: 4 cards are drawn at random from a standard deck. Find the probability that all the cards are hearts...
A: We want to find given probabilities
Q: An unreliable company produces a large shipment of blenders where 13% have a defective motor, and 25...
A: It is given that, 13% of blenders have a defective motor, 25% have a defective electrical cord and 5...
Q: The random vector (x, Y) has the pdf 4 ху 0 ), ii. P(; < x <1;<y <1).
A: Given information: We have given the random vector (X, Y) has the pdf, fx, y=4xy 0<x<1,0&...
Q: A carnival game has four boxes (Figure 4.15), into which the contestant tosses four balls. Each box ...
A: probability of a ball landing in any box = 0.25 all possible outcomes are - all 4 balls in 1 box, 3 ...
Q: The following table shows the annual number of PhD graduates in a country in various fields. Na...
A: a) From the given information, Social sciences(y) Year(t) 60 1990 100 1995 280 2000 470 2...
Q: 2. A shipment of 50 phone chargers contains 10 defective chargers. If 5 chargers are chosen at rando...
A: Given: Total number of chargers = 50 Total number of defective item = 10 Total number of non-defecti...
Q: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be d...
A: According to formula of combination, the number of ways to select r objects from n objects is equal ...
Q: (X+Y Let f(X,Y) = 0 0.5) , p(y<1)
A: The probability function of X and Y is FX, Y=X+Y2, 0<X<1, 0<Y<20, ...
Q: 8. Rafael spins the pointers of the two spinners shown at the right. Find the probability of each po...
A: Given Data : Two spinners First spinner divided into two parts ...
Q: Consider the following system: .93 .97 .91 What is the probability of the system functioning? Assume...
A: First calculate for parallel That is for 0.93, 0.91 Reliability = 1-(1-0.93)(1-0.91) = 1-(0.07)(0.09...
Q: possible probability in an experiment?
A: The probability for any event will lie within 0 and 1. p ∈[0,1]
Q: In Stat 2 exam, a Stat Faculty wishes to arrange the chairs of 5 students such that 2 notorious stud...
A: According to given problem: A Stat Faculty wishes to arrange the chairs of 5 students such that 2 no...
Q: There are two boxes of marbles. Box I has 4 blue marbles and 6 green marbles; box II has 10blue marb...
A: P(HH) = 1/4 = 0.25 ================ H = Heads
Q: You're at a clothing store that dyes your clothes you wait. You get to pick from 4 pieces of clothin...
A: To find the probability of picking socks that are not blue, there are 4 pieces of clothing and three...
Q: In this problem, the gambler’s idea of odds does not enter at all. a. The odds of an event are 1/5...
A: Solution: a. From the given information, the odds of an event are 1:5.
Q: ASSESSMENT: Find the Mean, Median and Mode of the grouped data. Show your solution 1. Lower Cumulati...
A: The class interval and frequency of the data is shown in table below, Scores Frequency 1-4 2 ...
Q: A 5-digit PIN number is selected. What it the probability that there are no repeated digits? The pro...
A: From the provided information, A 5-digit PIN number is selected. Number of pins of 5 digit = 105 = 1...
Q: 4 j=0
A: The factorial of integer a is defined as the product of positive integers less than or equal to a i....
Q: Help
A: Following information is given: Accuracy of specific PCR device = 0.9 Proportion of population hav...
Q: A nonsymmetric binary communications channel is shown in figure below. Assume the input is ‘0’ with ...
A: Given information: Given that a nonsymmetrtic binary communications is given. The probability that t...
Q: A social worker was interested in determining whether there is a significant difference in the avera...
A: Solution: n1=64 Sample size of state n2=64 Sample size of private x1= 725 Sample mean of state x2=...
Q: Assume that a committee consists of 7 Republicans and 10 Democrats. A subcommittee of 5 is randomly ...
A: There are 7 republicans and 10 democrats. Therefore, the total subcommittee of 5 members is C517. C...
Q: 7. If the joint probability density function of X and Y is 1 if 0 < x < 1; 0 < y < 1 f(x, y) elsewhe...
A:
Q: The average number of hours worked per week for college students is 27, and the standard deviation i...
A: Given: let number of hours worked per week be X number of working hours follow normal distribution m...
Q: The ages of all females from the freshmen students in Mapua Institute of Technology" is a/an O sampl...
A: Solution: Population: A group of items or things or person under study is known as population. In ot...
Step by step
Solved in 2 steps with 2 images
