The ages of the population of 2,000 women are normally distributed with a mean of 35 years and standard deviation of 5 years. How many women have ages below 50 years old?

Q: Suppose you roll a special 6-sided die. What is the probability that the number rolled is a "1" OR a…

A:

Q: In a competition, junior chefs make a gourmet soup by selecting 10 different ingredients. How many…

A: GivenNo.of different ingredients(n)=10No.of ingredients must include(r)=4

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated…

A: Solution

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (AUB)' n C' on the Venn diagram.…

A: As Prof. P. K. Giri said "Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic…

Q: determine the 95% confidence interval or range in an observed score of 86 if SD is 5.8 and the…

A: 95% Confidence interval is 79.4934 and 92.5066 Explanation: Data given, r=0.82 X=86 SD=5.8 Standard…

Q: Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is…

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

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Q: A source produces dots. And dashes - with .P(dot)=0.65. Find the entropy 0.97370 .a O 0.934 .b O…

A: Entropy is used to measure the similar value of the sample size. Entropy is will be zero when they…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: From the provided information, Confidence level = 99% Margin of error = 0.01

Q: a. Determine b. Determine the expected the expected value of x value of Y

A: EX=∫01X*g(X)dx=∫X2XX+13dx=∫2X2X+13dx=∫2X3+2X23dx=2X4401+23X3301=12+29=0.722

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

A: Given,average no.of bananas per day(λ)=52mean(μ)=52standard deviation(σ)=52

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

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Q: Suppose that a marketing research firm sends questionnaires to two different companies. Based on…

A: The probability of the questionnaire being returned is 0.40.

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

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Q: A spinner is broken into sections labeled 1 to 38. What is the probability that, on your next spin,…

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Q: EXERCISE 2 (DISCRETE MATHS: DISCRETE PROBABILITY) What is the probability that Danny, Sam and Rose…

A: Given  the probability that Danny, Sam and Rose win the first, second, and third prizes,…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A: Standard normal distribution is a type of normal distribution expressed in z-score.

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

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

A: From the provided information, Sample size (n) = 10 The probability that a machine has a lifespan of…

Q: probability that there will 10 log-ons over a 48 minute period? What is the probability that at…

A: here given , in large corporate  computer network ,  there are an average of 27 log-ons per hour  λ…

Q: The table summarizes results from 981 pedestrian deaths that were caused by automobile accidents.…

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and…

Q: z is a standard normal random variable. The P(-1.96 ≤z S-1.4) equals O a. 0.475 Ob. 0.0558 O c.…

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Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 3…

A: Required probability is P(Female AND got a 'B')

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: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

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Q: In a certain factory. Three machines produce pencils. For factory evaluation, samples were chosen…

A: Given Information: Type of production 1st machine 2nd machine 3rd machine Good 200-N 200+N…

Q: The speed of a file transfer from a server on campus to a personal computer at a student's home on a…

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Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A: We have to choose the probability of an event G if H denotes it's complement, according to the…

Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

A: Given: PXm-Xn>∈<∈ for m,n >Ne

Q: The p-value will correspond to a two-tailed area using  t = 1.124 with n − 2 = 3  degrees of…

A: The test is two tailed.

Q: 1. What is the probability that a student selected at random is a boy? PB = 285/465 2. What is the…

A: The total number of students is 465.

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: The probability that there will be at most 2 men with high blood pressure is २ P(X < 2) = ≥ P(X=X) :…

A: 5.The provided information is n=6p=0.15P(X=x)=(Cxn)*px*(1-p)n-x…

Q: hown below are the number of trials and success probability for some Bernoulli trials. Let X denote…

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Q: an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Given that  Box contains  Red balls = 2 Green balls = 3 Blue balls = 2 Total balls in box = 7 We…

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

A: According to the given information, we have Total number of persons = 12

Q: Why can decreasing the probability of a type I error cause an increase in the probability of a type…

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Q: Classify the two given samples as independent or dependent. Sample 1: Sample 2: The household…

A: It is given that the sample 1 is the households income for 39 households in a suburb.

Q: (c) If a bank receives on the average of 6 bad cheques per day. Find the probability that it will…

A: Solution

Q: Records indicate that, in Australia, 65% of secondary students participate in sport, and 71% of…

A: The following information has been given: Let A denotes the secondary students  who participate in…

Q: (c) Let Y~ Normal (μ, o²), and consider the probability P(|Y - µ| > ro) for some r > 0. Show that…

A: Hello! As you have posted 3 different questions, we are answering the first question (c). In case…

Q: . An electronic assembly consists of two subsystems A and B. The following probabilities are known.…

A: Given: P(A fails)=0.25P(A and B fails)=0.14P(B fails alone)=0.15

Q: Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total…

A: Here Given  No of Men =100.  No of color Blind man =5 No of Women =250 No of color Blind women = 10

Q: Suppose that the probability that iraqi man has a high blood pressure is 0.15. If we randomly select…

A: Given,n=6p=0.15q=1-0.15=0.85A random variable X~Binomial(n=6 , p=0.15)P(X=x)=Cx6 0.15x0.856-x  ;…

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

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

Q: The probability distribution for the random variable,x, is x: 2, 2.5,3.0,3.5,4.0,4.5 and…

A: X 2 2.5 3 3.5 4 4.5 Total P(X) 0.07 0.36 0.21 0.19 0.10 0.07 1

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: What is the probability of exactly two of the selected bulbs are rated 75-W? What is the probability…

A:

Q: Recently, Goran ran for president of the local school board. Of those who voted in the election, 80%…

A: The answer is attached below,

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

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