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- Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal placesThe table below shows the probability distribution function of the number of accidents (X) occur in a day by taxis belonging to a taxi company. x 0 1 2 3 4 P(X = x) 0.5 0.15 0.05 2k k (a) Find the value of k.(b) Find the expected value and standard deviation of the number of accidents (X) occurring in a day.(c) Assume the net profit ($), Y, of the taxi company in a day is given by Y = 10000 – 4000X. Find theexpected value, variance, and standard deviation of the net profit of the taxi company in a day.(d) What is the maximum profit the company earn in a day? What is the corresponding probability?(e) What is the probability that the company loses money in a day?(f) Find the probability that there are exactly 3 days that the company loses money in a week (7 days).X P(x) 0 0.1 1 0.25 2 0.3 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
- X P(X) 0.1 0.1 2 0.25 3 0.55 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal placesx P(x) 0 0.2 1 0.05 2 0.2 3 0.55 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal placest- distribution is a probability distribution used to estimate parameters EXCEPT when: a. The population standard deviation is known b. The sample size is small c. The population variance is unknown d. The sample size is small and population variance is unknown
- The monthly return of a particular stock follows the normal distribution with mean 0.01 and standard deviation 0.14. Find the probability that the monthly return of the stock will be between -0.02 and 0.05. Select one: O a. 0.9691 O b.0.5309 O C.0.1973 d. 0.8027 e. 0.0309IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 Probability 0.269 0.295 0.241 0.144 The variance is 1.5. (Round to one decimal place as needed.) (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.4. (Round to one decimal place as needed.) The standard deviation is 1.2 (Round to one decimal place as needed.) (b) Interpret the results. 4 0.038 The mean is so the average batch of 1000 machine parts has the typical number of defects in a batch of 1000 (Round to one decimal place as needed.) 5 0.013 0 The standard deviation is SO
- Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =Find the probability using the standard normal distribution. P (- 1.57 < z < 0)Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) 0.32 0.33 0.08 P(4) = (Type an integer or a decimal.) X345