From the past experience, 60% of the stocks are profitable. What is the probability that 5of the 7 stocks are profitable? Find the mean and standard deviation of the randomvariable X, where X is the number of profitable stocks out of 7.
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From the past experience, 60% of the stocks are profitable. What is the probability that 5of the 7 stocks are profitable? Find the mean and standard deviation of the randomvariable X, where X is the number of profitable stocks out of 7.
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- Solve for the variance of the weight of all the beans in a box. Also explain where did you get the formula for varianceThe weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180lbs. Round your answer to four decimal places.An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? O A. It will decrease by a factor of 4. OB. It will increase by a factor of 4. O C. It will increase by a factor of 2. O D. It will decrease by a factor of 2. OE. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of 4 O C. It will increase by a factor of 4. O D. It will increase by a factor of 2. OE. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean…
- The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal placesCreate a column of numbers going from 0 to 30. in binomial distrubution with n=30 and p=0.5. Remember that the variance is the expected value of the squared deviations from the mean. In the next column, compute the product of the probability of each outcome and the squared deviation from the mean. Place the sum of the 31 values in the cell next to the cell in which you have computed the variance as a function of the parameters.About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 70%? Assume the sampling distribution of sample proportions is a normal distribution. pq The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to n The probability that the sample proportion surviving for at least 3 years will be less than 70% is| (Round to four decimal places as needed.)
- If it is known that the percentage of successful students is 75%, and you take a sample of 15 students, calculate 1. The probability of having 10 successful bears 2. The probability of success of more than 13 students 3. varianceOn a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 102 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.Find the probability that a randomly selected person's IQ is over 99. Round your answer to 4 decimal places.A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
- A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)A librarian wants to estimate the average number of book a patron will checkout over a years time. She believes from past studies the standard deviation is20 books per year. If she samples 100 patrons, with what probability can sheassert than the error in her estimate will be less than 5 books per year? (
