The mean of the Binomial distribution with parameters "n" and "p" is А. пр
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- A coin is tossed 400 times. Use the normal-curve approximation to find the probability of obtaining Between 185 and 201 heads Exactly 205 heads More than 227 heads9. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the variance. O a. .3701 оь.1901 О с. 2075 O d.1016 O e. None of the above Previous pageA lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement a. Find the probability that at least one unacceptable washer is in the sample b. Calculate the mean of (x) c. Calculate the standard deviation of (x)
- Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?Assume the readings on thermometers are normally distributed with a mean of 0 degree*C and a standard of 1.00 degree*C. Find the probability that a randomly selected thermometer reads between -2.13 and -1..59 and draw a sketch of the regionFor the binomial distribution, which formula finds the standard deviation? Choose the correct answer below. o npa о пр Onpq о пр
- Suppose N = 11 and r = 4. Compute the hypergeometric probabilities for the following values of n and . If the calculations are not possible, please select "not possible" from below drop-downs, and enter 0 in fields. Round your answers, if necessary. a. n = 3, x = 1 (to 2 decimals). Select your answer b. n = 2, x = 2 (to 3 decimals). Select your answer - n = 2, x = 0 (to 4 decimals). Select your answer d. n = 5, x = 3 (to 2 decimals). Select your answer e. n = 5, x = 5 (to 2 decimals). Select your answer - C.where appropriate. 1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance of germinating when planted under normal conditions. Suppose n seeds are planted, and let X be the random variable that counts the number of seeds that germinate. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) = = (b) What is the minimum value of n so that the probability of at least five of the seeds germinating is at least 90%?A stick of length 1 is broken at a point chosen uniformly along its length. One piece is used as the length of a rectangle, and the other is used as the width. Find the mean area of a rectangle formed in this way.
- Suppose that the hibernation time for black bears is normally distributed with mean 150 days and standard deviation 30 days. 12 randomly selected black bears are monitored. Round all answers to two decimal places. A. ~ N( 1) B. For the 12 black bears, find the probability that the average hibernation time is more than 170 days. C. What is the probability that one randomly selected black bear will hibernate longer than 170 days? D. Find the IQR for the average of 12 bears. Q1 = Q3 = IQR:Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -0.338°C and 0.467°C. Use 4 decimal places.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).
