The probability of the mango chosen at random being infested by worms is Find theexpectation and standard deviation of the number of mangoes that are worm infested in asample of 30 mangoes.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 65 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
In a random sample of 750 toner cartridges, the mean number of a toner cartridge can print is 4302 and the standard deviation is 340. Assume the distribution of data is normally distributed The company that makes the toner cartridges guarantees to replace any cartridge that prints fewer than 3282. Approximately how many of the cartridges in the sample would you expect to be replaced under the guarantee policy?
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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. (a) In words, define the random variable X. Edit Insert - Formats - B A く) (b) Find the ZSCore for a trial lasting 20 days. (Round your answer to three decimal places.) (c) If one of the trials is randomly chosen, find the probability that it lasted at least 20 days. (d) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Use your z-score from part (b), rounded to one decimal place).
Suppose that X has the density function c(x) = CX2 for 0 ≤ x ≤ 1 and f(x) = 0 otherwise.a. Find c.b. Find the cdf.c. What is P(.1≤ X <.5)?
The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If the variable is normally distributed, what is the probability that a randomly selected town will have a homicide rate greater than 8?
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he probability of the mango chosen at random being infested by worms is Find the xpectation and standard deviation of the number of mangoes that are worm infested in a ample of 30 mangoes.