A package contains ten yellow, six green, eight purple, and nine red candies mixed together. What is the expected number of red candies among five candies poured from the package?

Q: P(-1<Z<1)= round to four decimal places

A: Given that P(-1&lt;Z&lt;1)

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: A card is drawn from a standard deck of 52 cards. What is the probability that it is a king, given…

A: We know that the probability of event A is , P(A) = n(A)/n(S)  where, n(A) = number of observation…

Q: The means of 6, 6, 6, 6, 6, 6 is 6?

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here mean  = ∑xn

Q: X 2 4 If (x₁y) 2 f(x,y). · 10.10 3 0.15 5 0·10 0.20 0.30 0·15 a. Determine the marginal distribution…

A: f(x,y)       2        4        Total      1        0.10       0.15 0.25  Y= 3…

Q: 4. (简答题, 8.0分) The number of credits being taken by a sample of 13 full-time college students for a…

A: Measure of central tendency are used to measure the central values. Measure of central tendency are…

Q: 1. When choosing one skittle, are the events "selecting a red skittle" and "selecting a blue…

A: HERE as per GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given ,  there are total 15 +16 +12 + 14 +5…

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

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

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AB) = 0.1. Calculate (a) P(AB); (b)…

A:

Q: probability that the committee is made up of only students of the same sex?

A: In a class there are 10 girls and 8 boys, a committee is formed with a president, a secretary and a…

Q: I want it through probability and random variables with maximum speed Q4: b- Find the value of the…

A: Given : x -1 3 4 F(x)  C 0.15 0.45

Q: A random variable X has unknown mean and variance o² = 25. To determine the mean u, one may…

A: Solution: From the given information, X has mean µ and variance σ2 = 25.

Q: If you toss a coin (assume p = 0.5) and repeat this experiment 100 times, What is the probability of…

A: From the provided information, Number of experiment (n) = 100 Probability of getting tail (p) = 0.5

Q: ** A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with the return,…

A: given data 6 red balls 4 blue balls 10 total balls Select two with replacement

Q: Let X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after…

A:

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

A:

Q: Cost of Pizzas A pizza shop owner wishes to find the 99% confidence interval of the true mean cost…

A:

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given Information: 80% of the high school students are known to have come from their elementary…

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

A: To find: How many combination of exactly 3 toppings could be ordered

Q: 1. What is the probability of getting the number 5 when a fair die is thrown? A. 0 B. 1/6 C. 1/2 D.…

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

A:

Q: f (x, y) 1 0.05 0.05 0.00 g (x) 0.10 a. Determine the mean of X. b. Determine the mean of Y. c.…

A: As per our guidelines we are suppose to answer only three sub parts. Mean of X (E(X))=∑X.g(x)

Q: a random variable has probability distribution: x= 0,1,2,3,4,5,6,7 and P(x) =0,k,2k,2k,3k,k*k,2k*k,…

A: Given Information: x 0 1 2 3 4 5 6 7 P(x) 0 k 2k 2k 3k k2 2k2 7k(k+1) Required: To find the…

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

A: For a  standard normal distribution, Mean = 0 and standard deviation = 1

Q: 5. Write an explicit formula for the sequence 2, 3, 6, 11, 18,... O an = n² + n O an an = n² + 3 O…

A: Given problem Given that   5) Write an explicit formula for the sequence 2, 3, 6, 11, 18, ... Ans)…

Q: I f(x,y) 2 4 1 0.10 0.15 y 3 0.20 0.30 5 0.10 0.15 a. Determine the marginal distribution g(x), x =…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Consider the circuit. Suppose that the probability of a device functioning correctly is pw = 0.92…

A:

Q: A random sample of 50 employees is chosen from a company. The average salary of the 50 employees is…

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

Q: In a carnival game, a contestant has to first spin a fair coin and then roll a fair cubical dice…

A: P(prize won)=P(coin shows heads) and P(dice score is lower than 3) The event that the coin shows…

Q: Given the following data set, let x be the explanatory variable and y be the response variable.…

A: Given data : sr.no X Y 1 6 4 2 1 9 3 3 8 4 7 3 5 5 5 6 2 8 7 3 7

Q: μ = 3, o² = 9, P(-6 < X < 12) a. Determine P(u - ko < X < µ+ ko) ≥ 1 − 1/k²

A: Given μ=3, population variance σ2=9, P(-6&lt;X&lt;12)=?

Q: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B. The variance of…

A: Here given  Var(A) = 0.2 Var(B) = 0.5 T = 5 A + 2B

Q: If 'X' is a continuous random variable, then the expected value is given by

A: here use property of Continuous Random variable

Q: What happens to the width of a confidence interval as we increase confidence level, i.e as we…

A:

Q: next problem with the production line diagnosed as being due to an initial repair that was…

A: Here define events  Initial Repair made by hamza = H Initial Repair made by hamza = y Initial…

Q: An un contains cards numbered 1.2 ... 100 . Let X be the least number on the 50 cards drawn randomly…

A:

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: a) Example 5.5, Let 0.6 = probability that a patient recovers from a spread disease. If 12 people…

A: X~Bin(n,p) P(X=x)=nCxpx(1-p)n-x x=0,1,2,..,n  Farmula used nCx=n!/(x!(n-x)!)…

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: let R be the random variable representing the number of red balls chosen. What is f(3)?

A: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

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

A: Given,Total no.of toppings=6

Q: a) between 0.87 and 1.28; b) between -0.34 and 0.62; c) greater than 0.85; d) greater than -0.65.

A:

Q: How many favorable outcomes are expressed in the probability 7/9

A:

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given: Four technicians regularly make repairs when breakdowns occur on automated production line.…

Q: a. Two fair dice are rolled at once. Let X denote the difference in the number of dots that appear…

A: Given that, Two fair dice are rolled at once. X denotes the absolute difference in the number of…

Q: if x~unif. (0,2),find the U.b. of p(lx - mul>= 2)

A: Given X~Unif(0,2) Result: if X~unif(a,b) then  Mean=(a+b)/2 Variance=(b-a)2/12

Q: Use the spinner below. 12 1 11 2 10 9 8 7 P(3 or 5) = Round answer 4 places after the decimal if…

A: To find: P( 3 or 5 ) = ?

Q: please xplain why you have 7 class intervals, but have only shown 6 on ths histogram. Whould the…

A: For the given data the frequency distribution  is Class Count 4.3-4.4 1 4.4-4.5 2 4.5-4.6 4…