Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 3 8 14 25 Female 19 20 6 45 Total 22 28 20 70 If one student is chosen at random, Find the probability that the student was female AND got a "B". Round answer 4 places after the decimal if needed. 0.7571 X

Q: Vehicles pass through a junction on a busy road at an average rate of 60 per hour.  a) Find the…

A: Solution-: Given: Average =λ=60 per hour We want to find, (a) P(none passes in a given 30-minute…

Q: For a fixed x (0<x< 1), suppose Y has a probability mass function [x-¹(1-x); y = 1,2,3,... f(y|x) =…

A: Solution

Q: Q2 (a) The discrete random variable has the probability distribution as in Table Q2. Table Q2:…

A:

Q: 5. M = 3₁ 0² = 9₁ P/²6 < X < 12) a. Determine Plμ -ko < X < µ + ko ) 2 1 - 1 / / / k²

A: P(-6&lt;X&lt;12)=P(-6-33&lt;X-μσ&lt;12-33)=P(-3&lt;Z&lt;3)=P(-3&lt;Z&lt;0)+P(0&lt;Z&lt;3)=0.4987+0.4…

Q: Find the probability distribution of the random variable y, which represents the number of times…

A: Given, Y 1 2 3 f(y) 130 430 930

Q: One drawer in a dresser contains 8 blue socks and 6 white socks. A second drawer contains 4 blue…

A: In first drawer:no.of blue socks=8no.of white socks=6Total no.of socks=14In 2nd drawer:no.of blue…

Q: In dealing poker cards (52 cards in a playing deck), you’re drawing 5 cards at random. What is the…

A:

Q: 14.By examining the past driving records of city drivers, an insurance company has determined the…

A:

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given that, Average, λ = 52

Q: If X is a Binomial random variable with parameter (n, p), where 0< p <1, then as k goes from 0 ton,…

A: Given that,

Q: Outcome Frequency 1 6 QUIZ: Direction: Choose the letter of the correct answer. 2 2 (For items 1&2)…

A: Probability is the measure that determine the likelihood occurrence of an event. Event that involves…

Q: Suppose a jar contains 15 red marbles and 26 blue marbles. If you reach in the jar and pull out 2…

A:

Q: choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X.…

A: Given: 1, 2, 3, .........100 are there in a set. A number X is selected from above set. Independent…

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Here given there were six kinds of toppings that one could order for pizza  Here use counting…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Given that there are 6 kinds of toppings  and 3 toppings are selected for the order. Let n=number of…

Q: STATISTICS AND PROBABILITY. No long explanation needed. Rate will be given! Multiple Choice In…

A: Solution

Q: 10 10 (96), (9)(3) + 18 18 (3⁹) (15) 3 = 0.215686 ans

A: Given that

Q: Let X be the number of "6"s obtained from throwing a fair die 7 times. Find the probability of…

A: GivenA die is thrown 7 timesn=7probability of obtaining "6" when a fair die is thrown = 16…

Q: Graph a sample space for the experiments:  2- Recording the lifetime of each of 3 lightbulbs. 3-…

A:

Q: 29 percent of all Samsung cell phones are submitted for service while under warranty. Of these, 66…

A: Given: p(submitted for for service) = 0.29 p(repaired |submitted ) = 0.66 p(replaced | submitted ) =…

Q: Suppose· X · has probability-density-function (p.d.f) fx(x) = 7(1+x²)³ ° which one is the p.d.f..…

A:

Q: Question 6 A simple dice game involves the player paying $1 to play. Two fair six-sided dice are…

A: Two fair 6 sided die rolled. Profit and loss according to output is mentioned in question. We have…

Q: A random variable, z, has p.d.f. f(z) = e ², 0 =< z < 1. Calculate the expected value of z. a. 1 b.…

A: From the provided information, The pdf of z is f (z) = e-z, 0 ≤ z &lt;1

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A:

Q: rovide an appropriate response. Use the Standard Normal Table to find the probability. An airline…

A:

Q: Use the technology display to make a decision to reject or fail to reject the null hypothesis at a…

A: The level of significance is 0.01.

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A:

Q: The probability that a component is acceptable is 0.93. Ten components are picked at random. What is…

A: Given The probability that a component is acceptable(p)=0.93sample size(n)=10Let "x" be the no.of…

Q: many different possibilities are there for arranging the

A:

Q: What is the probability that I pulled out the 6 sided die?

A: here given ,  I have a bag with 3 fair dice. One is 4 sided, one is 6 sided, and one is 12 sided. I…

Q: 3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or…

A: As Prof. N. G. Das said "If there are n mutually exclusive, exhaustive and equally likely outcomes…

Q: The probability that data are entered incorrectly into a field in a database is 0.008. A data entry…

A:

Q: (1) Find the two-step transition matrix P(2)= (2) Find the three-step transition matrix ⠀⠀⠀ P(3) =…

A:

Q: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without…

A: We know that the the probability of the any event is the ratio of number of outcome of event to the…

Q: Suppose a jar contains 15 red marbles and 26 blue marbles. If you reach in the jar and pull out 2…

A: To find: The probability that both are red marbles.

Q: The probability a chip is manufactured to an acceptable standard is 0.87. A sample of six chips is…

A: Given data: P = 0.87 n = 6

Q: 1 Y 9 0.25 0.09 0.02 ។ O P (9) 0.64 if y van don Variable has a mass Function the probability of…

A: Farmula used  E(y)=∑yP(Y=y)

Q: Q2: A- Find the probability distribution of the random variable y, which represents the number of…

A: Tossing a balanced coin Getting a Head 0.5 Getting a Tail 0.5   E(x) = ∑xp(x)Var(x) =…

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 O a. 3; 7.141 b. 3;2.414…

A: Given n=7 37,26,19,21,19,25,17

Q: Given A and B in Ω with p(A)=0.45, p(B)=0.75 and p(B-A)=0.5, calculate p(B|AUB)

A:

Q: 3. The table shows the predicted growth of particular bacteria after certain number of hours. Write…

A:

Q: s, find probability of E3

A: Here Given  For Rolling dies  No of Possible outcomes = 6 {1,2,3,4,5,6} Now  Basic Probability =No…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Solution-: Given: There are 6 kinds of toppings that one could order for a pizza.  How many…

Q: Find the σ2 and σ  for rolling two dice.

A:

Q: Find the value of k that makes the above function a proper p.d.f. Part b) Hence find P(0.25 < X <…

A: here given ,  probability distribution of x  f(x) = x6+ k  , 0&lt;x&lt;20   , otherwise

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Required probability is P(0.87&lt;Z&lt;1.28)

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 3: 7.141 O a. b. 3; 2.414…

A: From the provided information, Number of observations (n) = 7

Q: A scheme of random number generator is described as follows. First, one generates a normal random…

A:

Q: a. What is the probability that exactly 10 are from their elementary school? b. What is the…

A: here given  ,  In one of the Biggest school in Metro Manila , 80% of their high school students are…