company wants to estimate the time its trucks take to drive from city A to city B. The standard deviation of the data is known to be 12 minutes. The travel time distribution is assumed normal. What sample size is required in order for the error not to exceed ±2 minutes, with 95 percent confidence?

Q: You make a deck of 3 cards, labeling them 1, 2, and 3. You shuffle them together, then lay them out…

A: There are three cards numbered 1, 2, and 3, which are laid out in a random order one after the other…

Q: The probability that a car owner will become a car renter in five years is 0.03. The probability…

A: Here the given transition matrix is we have to find the long-range probabilities for the three…

Q: We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The…

A: As asked by you, I have answered questions a,b and c.

Q: The table at the bottom of the page lists the number of  passengers (according to class of ticket)…

A: Children   Women   Men   Totals     On Survived On Survived On  Survived On Survived First…

Q: (100, 15), what is probability that the mean IQ of 9 randomly selected people will be below 105?

A: X~N(M=100, S=15), n=9

Q: 4. Suppose there are four products, let be the event that the ith product is salable product (i = 1,…

A: As per policy I have calculated 3 subparts kindly REPOST for remaining parts   Suppose there are…

Q: Question 10 A catalog company administered a survey to determine how long customers were willing to…

A: A random variable X~Exponential(λ=13.5) P(X=x)=13.5e-x3.5          ;  x≥0 The cumulative…

Q: Find the third quartile for this list of numbers 17 97 67 56 27 57 76 89 9 90 25 14 52 92 21

A: here we have to find out the 3rd  quartile for the given data.data in acending…

Q: Consider the sample data below. 29.6 32.4 38.7 42.4 44.5 46.4 49.0 60.8 70.2 You must show your work…

A: The data set are :- X :- 29.6 32.4 38.7 42.4 44.5 46.4 49.0 60.8 70.2 Then,  We will find Range,…

Q: Part 1: The Goodness-of-fit test The problems in this section are taken directly from the course…

A: The null and alternative hypotheses can be written as follows: Null hypothesis (H₀): The actual…

Q: 5 Unfair game ( You and your five-year-old sister play a game. A fair six-sided die is rolled to…

A: To fill in the joint probability mass function (PMF) of A and B, we need to consider all possible…

Q: An example of two mutually exclusive events from a standard deck of cards A. Aces and spades…

A: Mutually exclusive event:  An event is said to be mutually exclusive event of A⋂B =Φ, which means…

Q: A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability that the card is a…

A: There are 26 black cards in the deck (13 spades and 13 clubs), and there are four 5s in the deck (5…

Q: = 7:44 Instructions: Change the slider to P(S) = 0.85. 1. What does P(S) = 0.85 mean? 2. What is…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: The pdf of X is given by a+bx³, if a € [1,3] otherwise f(x) = { To Find all possible values of a and…

A: Answer:- Given, the pdf of X is:    f(x) = a + bx21≤x≤30otherwise                 Find the possible…

Q: 2. Let X and Y be two independent exponential random variables with parameters both equal to 3. (a)…

A: X and Y are independent.

Q: 5 Arrival times (20 points) Two buses stop at a particular bus stop. Bus X will arrive at a…

A: Given that two buses stop at a particular bus stop. Bus X will arrive at a uniformly random time in…

Q: Poker Calculate the probability of being dealt the following poker hand. (Recall that a poker player…

A: There are 4 possible suits to choose from. For each suit, there are only 9 possible sequences of 5…

Q: The amount of time that people spend going through airport security at a busy airport is normally…

A: Mean(μ)=25 standard deviation(σ)=4.8

Q: El whether they have an A in the class. What is the probability that a student is a ale given that…

A: Female  Male    Has an A 14 3 17 Does not have an A 2 6 8   16 9 25 Total number of…

Q: A study determined that 6% of children under 18 years old lived with their father only. Find the…

A: The random variable X is the number of children under 18 years old who lived with their fathers only…

Q: transcript Suppose that the time, in hours, required to repair a heat pump is a random variabile X…

A: X ( time required to repair the heat pump )  Follows a Gamma distribution ,  Given :  α = 2 β = 1/3…

Q: Use the counting techniques from the last chapter. A bag contains three red marbles, three green…

A: A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and…

Q: Fill in the blanks using the named events. 40% of those who have a Mac now (M) will purchase a Mac…

A: 40% of those who have a Mac now (M) will purchase a Mac next time (X), whereas 20% of those who do…

Q: (c) The vendor claims that the standard deviation in the weight of the sacks is less than 2 kg.…

A: A shipment of 1000 sacks of oranges arrives at a distribution centre in Edinburgh, one of 10 such…

Q: A catering service offers 12 appetizers, 10 main courses, and 9 desserts. A customer is to select 3…

A: 12 appetizers 10 main courses 9 desserts   A customer is to select 3 appetizers, 6 main courses, and…

Q: Table 1: Cross Tabulation - Frequency Table Geneva Location 0 1 2 3 Total Geneva Location 0 1 2 3…

A: The frequency table is given as follows: Geneva Location Saratoga Location Total 0 1 2 3 4 5…

Q: 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)²2.…

A: It is given that the probability that a man aged x marries at time t from the present is 15t+x2dt…

Q: Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws two…

A: There are 52 cards in the standard deck of cards. There are 13 spade cards in the standard deck of…

Q: The processing time for the robogate has a normal distribution with mean 23 sec and standard…

A: NORMAL DISTRIBUTION μ = 23σ = 2P(x≤27.4) = ?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A: The random variable X is the IQ score of adults It is normally distributed. The mean is 100. The…

Q: given that she gets the fluorescent pink one.

A:

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: The bag contain three red marbles, two green ones, four white ones and two purple ones. She grabs…

Q: We have three independent risks, each having the following probability mass functions: P(X₁=0)=1/4…

A: To calculate the VaR(90%) and TVaR(90%) of the distribution of the total claims of the portfolio of…

Q: The following refer to the following data set: 102 76.1 85.6 92.5 86.8 84.4 63.6 102 102 78.9 What…

A: The data is 102, 76.1, 85.6, 92.5, 86.8, 84.4, 63.6, 102, 102, and 78.9.

Q: Create a tree diagram for the sample space of this experiment, if you toss a coin 4 times.

A: Here we have to Create a tree diagram for the sample space of this experiment, if we toss a coin 4…

Q: Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval…

A:

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a…

A: Let X be the random variable from binomial distribution with probability (p) = 0.30 and sample size…

Q: Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F.…

A: Chirps in 1 min Temperature  893 69.9 1177 93.2 1119 85.6 871 76.3 1220 87.7 1038 82.2…

Q: Find the expected value of the random variable g(x)=x², where the discrete random variable X has th…

A:

Q: Marketing Suppose you select a student and observe his or her major. Find the probability he or she…

A: As per policy I have calculated first main question as you have posted 3 different questions .plz…

Q: contains 2 green  marbles and 2 blue marbles . What is the probability of selecting 2 green marbles…

A: Total marbles=2+2=4 Green marbles=2 Blue marbles=2

Q: 1) Given X-N(100,36),find the value of m given P(X <m) = 0.5580 (Answer 2 decimal place)

A: From the provided information, X~N (100, 36) Mean (µ) = 100 Variance (σ2) = 36 P (X &lt; m) = 0.5580

Q: You pick a card at random. 6 7 8 9 What is P(less than 8)? Write your answer as a fraction…

A: The probability less than 8 is obtained below as follows:   From given information, it is clear that…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: The bag contains the following marbles, The number of red marbles is three. The number of green…

Q: Select all of the following that are members of this set: {a € N: a² - 1 is divisible by 4} x {b €…

A: { a ∈ℕ : a2 - 1 is divisible by 4} x { b ∈ℤ: b is prime number}

Q: graph with 6 vertices below. Suppose that 0 and 5 are absorbing vertices, but the random walker is…

A:

Q: The table below shows the educational atainment of a country's population, aged 25 and over. Use the…

A: Given that  The data shows educational attainment of the country's population aged 25 and over.…

Q: We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The…

A: As per our guidelines we are supposed to answer only 3 sub-parts. a) The type I error is the…

Q: A shipment of 9 typewriters contains 2 that are defective. Find the probability that a sample of…

A: Answer  Given:   A shipment of 9 typewriters contains 2 that are defective. 9-2 = 7 are not…