**Theft Cases and Drug-Related Probabilities**In a certain city district, the need for money to buy drugs is stated as the reason for 73% of all thefts. Let's find the probability that among the next 5 theft cases reported in this district:(a) **Find the probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.**\[ P(X = 2) = \] [Input box for numeric answer](Round to three decimal places as needed.)(b) **Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.**\[ P(X \leq 3) = \] [Input box for numeric answer](Round to three decimal places as needed.)

It is given that The random variable X i.e, to buy drugs follows Binomial distribution with…

Answered: (a) Find the probability that among the…

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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A group of people were asked if they had run a red light in the last year. 144 responded "yes", and 373 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
A professor of management has heard that eleven students in his class of 37 have landed an internship for the summer. Suppose he runs into two of his students in the corridor. a. Find the probability that neither of these students has landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Find the probability that both of these students have landed an internship.
We want to assess the relationship between class rank and how many minutes a person spends on social media. We randomly select 5 students from UMD and have them report their class rank and number of minutes per week they spend on social media. We get the following data. Because class rank is ordinal data, we want to compute Spearman's rho. Please compute the numerator for Spearman's rho and use 4 decimal places for all computations and final answer. (the numerator is referring to the numerator of the fraction, not including the 1- part) Minutes on Social Class Rank Media per Week 100 1,302 500 25 250 10 600 50 200
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
With the usual notations, find the probability of success 'p' for a binomial distribution, if n=6 9 P (X=4) = P(X=2).
If P(A) = 0.5, P(B) = 0.4, and P(A^ B) = 0.25, then P(AUB) = 0.35 0.15 0.65 0.9
A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
The table summarizes results from 976 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Intoxicated? Pedestrian Intoxicated? Yes No Yes 56 86 No 245 589 If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated but the pedestrian was. Please enter a decimal to 4 places.
According to the information that comes with a certain prescription drug, when taking this drug, there is a 25% chance of experiencing nausea (N) and a 40% chance of experiencing decreased sexual drive (D). The information also states that there is a 13% chance of experiencing both side effects. What is the probability of experiencing nausea or a decrease in sexual drive? Your answer should be rounded to 2 decimal places.
P(z > -2.74)Express the probability as a decimal rounded to 4 decimal places.

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