The probability function for the number of seizures, X, of a typical epileptic person in any given year is given in the following table. Calculate the standard deviation in the number of seizures is x 0 2 4 6 f(x) 0.17 0.21 0.18 0.11 0.16 0.17 10 4.11 None of the choices 5.07 O 3.47
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- The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. X P(x) 0 0.125 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 O C. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76 CThe average weekly income of a supervisor on duty in the glass industry has a normal distribution, with a mean of $ 1,000 and a standard deviation of $ 100. That is, μ = $ 1,000 and σ = $ 100. What is the probability to select a supervisor whose weekly income ranges from $ 1,000 to $ 1,100? This question is expressed with Probability notation as follows: P ($ 1,000 <weekly income <$ 1,100).Let X be the number of workouts a person does in a week. Suppose that X has the following probability distribution: 3 e d C # $ SB 4 C A. What is the expected number of workouts a person Standard deviation = r Expected value B. What is the standard deviation of the number of workouts a person f V You can use the tool below to help you compute standard deviation. % 5 t ca b 6 X 0 P p| 0.09 Oll y h hop & 7 n 1 2 3 0.14 0.43 | 0.25 O u does per Round to 2 decimal places, as needed. does per week? j Round to 2 decimal places, as needed. * 00 week? 8 4 0.09 3 k ( 9 O < alt O р ctrl [ ? + 11 = 1 < backs 1
- Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is: a. 0.59 b. 0.27 c. 0.93 d. 0.75Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.1 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is C. The probability that wave will crash onto the beach exactly 2.8 seconds after the person arrives is P(x = 2.8) = d. The probability that the wave will crash onto the beach between 0.4 and 1.9 seconds after the person arrives is P(0.4 0.82) = f. Suppose that the person has already been standing at the shoreline for 0.5 seconds without a wave crashing in. Find the probability that it will take between 1 and 4 seconds for the wave to crash onto the shoreline. g. 26% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the maximum for the lower quartile. seconds.The following table shows the results of a medical test. Positive Test Result Negative Test Result 95.3 4.6 Total 82.6 % 4.6 Has Disease X % 491 24 % 515 Does Not Have Disease 45 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 214 259 Total b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 536 238 774 c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate. X %
- 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. 0.0309H.W :A study determined that the difference between the quoted to women and men for used cars is normally distributed with mean $ 400 and standard price f(x) deviation $50. let X be the amount quoted to a woman minus the amount quoted to a man for a given used car, find The probability P(275 < X < 500) that is shown as the shaded area in Fig. 6-20. 275 400 500The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents Daily (X) P(X=xi) 0 0.23 1 0.29 2 0.17 3 0.12 4 0.08 5 0.07 6 0.04 a. Compute the mean number of accidents per day. μ=nothing
- The average yearly consumption of water per person in Lebanon is 120 liters with a standard deviation o. Suppose that the yearly consumption of water follow a normal distribution. Find o if the probability that the Lebanese people need more than 200 liters per year is equal to 0.2296. 64.9 O None of these O 108.1 O 87.72Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is c. The probability that fawn will weigh exactly 2.8 kg is P(x = 2.8) = d. The probability that a newborn fawn will be weigh between 2.6 and 2.8 is P(2.6 < x < 2.8) =