### Find the Indicated ProbabilityAn airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with mean (μ) = 15.5 and standard deviation (σ) = 3.6. What is the probability that during a given week the airline will lose between 10 and 20 suitcases?#### Answer Choices:- ○ 0.1056- ○ 0.4040- ○ 0.3944- ○ 0.8314#### Explanation:The problem requires determining the probability that a normally distributed random variable falls between 10 and 20, given a mean (μ) and standard deviation (σ). This can be solved using the standard normal distribution (Z-distribution) and Z-scores.No graphs or diagrams are presented in this image. However, a normal distribution curve can be imagined, centered at the mean (μ) = 15.5, with areas under the curve corresponding to the given probabilities.### Key Points:1. **Normal Distribution**: The data follows a bell-shaped, symmetric curve centered around the mean.2. **Z-score Calculation**: Conversion of the values (10 and 20 in this case) to Z-scores.3. **Probability Determination**: Use Z-tables or statistical software to find the area under the standard normal curve corresponding to the Z-scores, which represent the probabilities.

Let X be the number of suitcases that get lost each week on a certain route. The random variable X…

Answered: robability. An airline knows from…

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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ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
The annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125
Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 6.5 million visitors per day and a standard deviation of 3 million visitors per day. What is the probability that the web site has more than 1.5 million visitors in a single day? Question 3 options: 0.7545 0.5543 0.9522 0.3454
Example 8.5: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute
Suppose x is a normally distributed random variable with mean u =0 and standard deviation o = 1. Find the probability that x < 0.64. O 73.89% 76.11% 23.89% O 26.11%
Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20 that Z is less than the value O a. 0.84 O b. -0.84 O c. - 0.80 Od. 0.80
Four fabrics are tested for flammability at the National Bureau of Standards. Burn times (in seconds) are recorded after a paper tab is ignited on the hem of a dress made of each fabric. ## Load the data from our course website (HW06_FabricData.csv) into a data frame named *FabricData*. The burn times will be contained in the *BurnTime* variable of the data frame (FabricData\$BurnTime) and the conditions (i.e. fabric number) will be contained in the *Fabric* variable (FabricData\$Fabric). If F is significant, use RStudio to perform a Tukey test of all pairs of means in the study. Compute your values step-by-step (i.e. do not use the *TukeyHSD()* function) with $\alpha$ = .05. Report HSD, all pairwise mean differences, and interpret the results. Perform a Scheffe test, comparing Fabric 4 to Fabrics 2 and 3 combined using rstudio. Perform a Scheffe test, comparing Fabric 1 to Fabrics 2, 3, and 4 combined.
A normal population has a mean of of 60 and standard deviation of 12. A random sample of 9 is selected. The probability that sample mean is between 56 and 63 is: Select one: a.0.8715 b.0.6147 c.0.2734 d.0.1133 e.0.2266
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
QUESTION 5 Which of the following is not a characteristic of the normal probability distribution? a. The mean, median, and the mode are equal b. The distribution is symmetrical c. The standard deviation must be 1 d. The mean of the distribution can be negative, zero, or positive
The incomes of a certain large population of electricians follow a Normal distribution with mean $60,000 and standard deviation $6000. What is the probability that an electrician chosen at random from this population will have a salary between $54,000 and $65,000? (Give a proportion to 4 decimal places.)
The failure time of a component is a random variable with an exponential distribution that has a mean of 41.9 years. What is the probability that the component will still be working after 135 years? Your answer: O 0.078 O 0.040 O 0.648 O 0.725 O 0.323 O 0.158 O 0.897 O 0.231 O 0.083 O 0.728

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