Assume that a hospitality company operates a hotel with 107 rooms on a particular day. Historically, theprobability that a customer will show up for a randomly selected reservation is 97%.1. Assume that all 107 rooms were booked. Let X be the number of reservations for which the customershowed up.a. Describe the distribution of X:X~? (n ==p=b. Find the probability that there will be available rooms at the end of the day, in other words, findthe probability that not all customers will show up:P(X ≤(Round the answer to 4 decimal places)c. Find the expected number of customers who show up for their room reservations:E[X] =[(Round the answer to the whole number)d. Find the expected number of available rooms at the end of the day by subtracting the E[X] fromthe number of available rooms:(Round the answer to the whole number)2. Assume that the hospitality company sells 2 more booking(s). Let Y be the number of reservations forwhich the customer showed up.a. Describe the distribution of Y:Y~? (n:く=p =b. Find the probability that more customers will show up than there are available rooms:P(Y>(Round the answer to 4 decimal places)

Part (a) Distribution of X:The distribution of X, the number of reservations for which the customer…

Answered: Assume that a hospitality company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
There are 100 students in a club. 20 are seniors. 12 arrive at December’s meeting at random. We want to predict the number of seniors that arrive. Describe the distribution and determine P(x=3).
NEED HELP WITH: E,F,G
The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…
Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be: H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________ (Please show your answer to 4 decimal places.)
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer
Q4: The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that the distribution is A. symmetrical. B. negatively skewed. C. positively skewed. D. none of the above.

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