a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate the expected value ex2 of X² 24.25

Q: The probability that an entering college student will graduate is 0.4. Determine the probability…

A: From the provided information, Sample size (n) = 5 Probability that an entering college student will…

Q: William is playing cards. What is probability of pulling an 8 of spades, 10 of diamonds, or heart?

A: given data  william play a  card game select card at random.  P(8 of spades,10of diamonds or heart…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: given data  normal distribution  μ= 0σ= 1 so it is standard normal distribution P(0.75<x<2.25)…

Q: A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning…

A: Given that: A number cube is rolled three times. The total possible outcomes is 8

Q: The move to online instruction that was forced on universities by COVID has introduced considerable…

A: Given information: x P(x) 200 0.1 250 0.2 300 0.4 350 0.15 400 0.15 Sum 1

Q: A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic…

A: given data p(second product) =p=0.17 ∴ p(non second) =q=0.83sample size (n) = 9

Q: An economist predicts that the probability of an increase in gross domestic product (GDP) is 0.63…

A: Given,P(an increase in GDP)=0.63P(an increase in inflation)=0.53P(An increase in GDP and…

Q: Joe tosses a fair three-sided die 4 times.  What is the probability he rolls all threes? If…

A: given data roll a fair three sided die 4 times 3 sided die : ∴P(1)=P(2)=P(3)

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

A: For a straight line, the number of ways if arranging n things, people or elements is n! For a…

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A:

Q: 14. In a sample space of 200 left handed batsmen (LHB) and 300 right handed batsmen (RHB), it is…

A: Given  P1=0.005 P2=0.004 n1=200 n2=300

Q: Heights of Swedish men follow a normal distribution with mean 72 in and standard deviation 5 in. How…

A: Given Population mean μ=72, standard deviations σ=5  Let X be the Heights of Swedish men follow a…

Q: If E denotes the expectation the variance of a random variable X is denoted as (E(X))^2 - E(X)

A: Let Expected value=E(X)

Q: In the following diagram, each switch is in a closed state with probability p, and the open state…

A: As shown the circuit has 4 designated paths to pass the current from A to B Probability of a closed…

Q: 3. A) If X and Y are independent random variables with variances o variance of the random variable Z…

A: In question (a) X & Y are independent Variance of x =5 ,  Variance of Y=3 Z= - 2X + 4Y - 3 We…

Q: (a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your…

A: From given data we have: μ=30, σ=7.4

Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the standard…

A:

Q: A discrete random variable has probability distribution: x= 1,2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A:

Q: Step 4 Thus, we have P(0 sz s 3)-(3) - (0). From part (a), we have the cdf value (0) = 0.5, the area…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Andy and Marjorie are playing tennis. The points system is as follows: there are two conditions for…

A: Given information: The points system for the tennis game played between Andy and Marjorie is as…

Q: Q2 - A man gets rid of his car every year and buys a new car. If his car is a Jeep, he sells it and…

A: (Dear student, According to Bartleby rules, we can answer at most 3 sub parts at once. If you want…

Q: 7. Which of the following forecasting method will you use? 8. What are your basis in choosing for…

A: We have data of a firm's actual market share for 12 months. The data can be visualized using a…

Q: ossible Outcomes 3 Heads 2 Heads, 1 Tails 1 Heads, 2 Tails 3 Tails Totals Combinations HHH HHT, HTH,…

A:

Q: Question 1 Answer the following question on a paper and scan it as pdf: Parent 50 cases 30 in class…

A: Note: As per the company guidelines first 3 questions are solved, please repost the question by…

Q: (d) What is the probability that a player contests 4 or more opponents in a game? Round your answer…

A: Given Information: The probability of defeating each opponent is 0.80 Success with any opponent is…

Q: Starting at some fixed time, let F(n) denotes the price of a First Local Bank share at the end of n…

A: Given that F(n) denotes the price of a First Local Bank share at the end of n additional weeks, n≥1.…

Q: For eace three events in the table, check the outcome(s) that are contained in the event. Then, in…

A: Probability: A probability tells the possible chance of a happening an outcome in an experiment. For…

Q: According to PSA, the probability of a randomly selected 90-year old Filipino survives for at least…

A: given data  probability that a randomly selected 90 year old filipino survive for atleast another…

Q: You’re a structural engineer working for a company that produces beams for use in residential home…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective…

A: X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Q: Ten people are gathered to form a committee of size 4. If there are 6 men and 4 women in the group…

A: Given: n(total) = 10 n(women) = 4 n(men) = 6 n(chosen) = 4 n(women chosen) = 3

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.455 hours…

A: 10 Let X be the duration of a particular rainfall event follows Exponential distribution with mean…

Q: 2. This year Karen has decided to diversify her business by growing broc- coli as well as lettuce.…

A:

Q: A few examples of five-digit codes that can be created with the cards above are: 1A2B3; AB132; B2A13…

A: Here given ,  There are 5 cards for making codes  3 cards with digits and 2 cards with alphabet

Q: (a) Calculate P(X= 4) and P(X ≤ 4). (Round your answers to four decimal places.) P(X= 4) = 2 X P(X ≤…

A: From given data we have ; the number of success is the population K=8 N=12 size of the population…

Q: (a) P(0 ≤Z≤ 2.87) (b) P(0 ≤ Zs 2) (c) P(-2.10 ≤ Z≤ 0)

A: Given: Z is a standard normal variable. Required: To find the probabilities

Q: in, 0.47 mm at 5 min, 0.70 m mm at 11 min, and 0.99 mm st value in each case is whe occurred. ngle…

A:

Q: 2. The following is a distribution for the number of workers in 40 compani belonging to a certain…

A: Given :

Q: p(a)= .21, p(b)=.43, and event a and b are independent. what is p(a or b)?

A: given data P(A) = 0.21 P(B) = 0.43 independent events P(A∪B) = ?

Q: In series, teams A and B play until one team has won 4 games. If team A has probability 2/3 of…

A:

Q: d) How many different boards can be formed that include a president, a secretary, a treasurer and a…

A: Given : Total number of students =10 Number of roles assigned in part (d) is 4 (president,…

Q: A high school recorded the number of students in each grade participating in after-school…

A:

Q: tes 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance)   What is the…

A: 4 digit decimal numbers 0000 to 9999 Sum of the number should be divisible by 5

Q: Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The…

A: moisture content…

Q: (d)    P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)

A: First 3 parts has already been answered i have to solve part(d) only of this queue in We have to…

Q: 1. Do the following functions define DFs? 0 if x 1/1 = & 1-- X if x 1 (iii) F(x) = -e-x if x < 0…

A: Here we have to find given functions define distribution functions or not.

Q: Let events A and B and sample space S be defined as the following intervals: S = {x: -1 ≤ x ≤ 12} A…

A:

Q: X is a variate between 0 and 3. The value of E(X²) is 7 .a .a O 9 8 .b 27 b O .C .d O

A:

Q: The graph shows the probability density function for a car brand that has a mean fuel efficiency of…

A: Given: Meanμ=26standard deviation(σ)=2.4

Q: The table below shows the distribution of test grades for 50 IB students at Greendale School 32 65…

A: As per our guidelines we are suppose to answer only first three subpartsGiven data is Test grade…