I Q3) Find the complement of each event: a) Rolling a six-sided die and getting a number smaller than 3. b) Selecting a letter of the alphabet and getting a consonant. c) Selecting a month and getting a month that is in winter (December-March).

Q: 2- Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A/B) = 0.1. Then P(A|AUB) is O True…

A: Answer : - Given two events A and B  s.t.                 P(A)  = 0.5,    P(B) = 0.3   and   P(A|B)…

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

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

Q: In 6, suppose you want to estimate the proportion of those who passed the subject (grade ≥ 75). How…

A: Answer 1 :

Q: 1. Use the bisection method with a hand calculator or computer to find the indicated roots of the…

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: A decision-making procedure to find out whether there is a significant difference between a claim…

A: Given statement is : A decision-making procedure to find out whether there is a significant…

Q: A variable that can assume any value between two given points is called Continuous random variable…

A: In above question we will discuss about continuous random variable and whether above statement is…

Q: 10 Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number of points…

A: Given that Andy, Joseph and Wai Lung formed a team to take part in a quiz. The ratio of the number…

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: P(Very Poor) = 0.07 P(Poor) = 0.12 P(Fair) = 0.17 P(Good) = 0.21 P(Very Good) = 0.32…

Q: I want it through probability and random variables with maximum speed Q4: A- If the average number…

A: poisson distribution is given by

Q: 9- The probability density function of the random variable X whose moment x+1 generating function ()…

A: 9 Let us consider, the probability density function,

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines i solved only first question .thank you  Given X~μμ,σAverage μ= 5 year…

Q: )? b.)

A: Given as,    Total ball in box = 8 +8 + 8  = 24 balls

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

A: Formula : ΣF(X) = 1

Q: f(x,y) x=0x=1 y=0 0.4 0.1 0.1 0.4 An error occurs when X Y. An 8-bit long message is sent over this…

A:

Q: A restaurant chain introduces new dishes on its menu and wants to know if this will increase the…

A:

Q: Number of circular permutations of different things taken all at a time is (n-1)!. a. True b. False…

A: Permutation is the measure that used to determine the arrangement of objects. There are different…

Q: 4. For a Poisson distribution X~P(A) (A > 0), which one of the following values does equal to? A. 1…

A: The probability mass function of X is, The mean of X is

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2,4)}, where each point is assumed…

A: I find the the value of cov(X,Y) using r-software.   R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4)…

Q: bility 0.2. Supposing that there are only sunny or rainy days, in the long run on what fraction of…

A: here given ,  On a Southern Pacific island, a sunny day is followed by another sunny day with…

Q: r A continous random variable x has p.d.f.,then f(x) >;0 a O It; f(x)==0 f(x) >==0 f(x) >=1 .b O .CO…

A: To find: A continous random variable x has p.d.f , then ?

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: Solution-: We have given following table: x 0 1 2 3 4 5 6 7 P(x) 0 k 2k 2k 3k k2 2k2 7k(k+1)…

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: 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: What is the expected value (mean) of X?

A:

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

A: Here given there are total 6 toppings are available  Here use combination

Q: There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there…

A: Here letters are of word PROBABILITY. HERE TOTAL LETTER = 11 B REPEATS 2 TIME I REPEATS 2 TIMES

Q: 5- If X and Y are random variables having the joint density function f(x, y) = (6-x-y), 0 < x < 2, 2…

A:

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: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A:

Q: What are the odds against randomly picking a green apple from a fruit bowl containing seven green…

A: Answer:- Given a fruit bowl containing 7 green apple and 4 red ones.                What are the…

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

A:

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: In how many ways can we select 6 people out of 12, ?of which a particular person is not included…

A: GivenNo.of people(n)=12No.of people to be selected(r)=6

Q: Suppose a random variable, x, follows a Poisson distribution. Let μ = 2.5 every minute, find the P(X…

A: The provided information is…

Q: In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18 %…

A:

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: 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: A quality control supervisor inspects a production of 30 computer chips, 5 of which are defective.…

A: Solution Given problem is hypergeometric distribution problem the hypergeometric distribution with…

Q: 12- Let Mx,y (t₁, t₂) = e4t+t₁t₂+8t. Then var (Y) is (a) 13 (b) 7 (c) 16 (d) 9

A:

Q: A laundry shop averages 5 customers per hour. Assume that the number of customers is a Poisson…

A:

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: If any one want to known the happening on an event then probability is used. It is calculated by…

Q: Suppose X, Y and Z be random variables with j.p.m. f. f(x, y, z)= kxyz with x E {1,2}, y = {1, 2,…

A: Given information: The value of k is obtained below:

Q: Do college students enjoy playing sports more than watching sports? A researcher randomly selected…

A: From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01

Q: Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15,…

A:

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

A: Given the data set we have to find mean and standard deviation of the dats set.

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A:

Q: The population of 15 individuals who participated in the study reported a mean of 5.8667 glasses of…

A:

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

A:

Q: What is the expected outcome in a fair game?

A: here use basic of expected value  expected value  = ∑xp(x)