Ex6: Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the following: a/ P(X <11) and P(X>0) b/ P(3< X <7) and P(2x) = 90%
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- Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of μ = 72 bpm and standard deviation of o=11 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high? Find the heart rate (in bpm) separating significant values from those that are not significant. A heart rate with a bpm more than and less than are not significant, and values outside that range are considered significant. (Round to one decimal place as needed.) CFind P(x ≤ 16) when a variable is normally distributed with mean 21 and standard deviation 7. Give the answer to 4 decimal places as needed.i need the answer quickly
- A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4 and 2% had 5. Let X be the number of occupants in a rndomly chosen car a. find the pmf of X B. Find P(X3) Find the mean and std deviation.See image belowSuppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of μ = 72.9 bpm and a standard deviation of o=11.4 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high? RICHIED Find the heart rate (in bpm) separating significant values from those that are not significant. A heart rate with a bpm more than and less than are not significant, and values outside that range are considered significant.
- The lifetime X of a widget has a Weibull distribution with parameters a = 2 and B = 5. The mean widget lifetime is E[X] = 4.43. The standard deviation of the lifetime is StDev(X) = 2.316. What is the probability the widget lasts between 2.6 and 5.2? P( 2.6 < X < 5.2 ) = Express your answer as a proportion rounded to 4 decimal places.An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounces. Suppose the standard deviation is known to be σ = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean μ. Based on the 25 recent birth records, the sampling distribution of the sample mean x can be represented by: N(119.6, 1.30). N(119.6, 6.5). N(μ, 1.30). N(μ, 6.5).Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(- b < z < b) = 0.9008, find b. b =
- Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distribution with ? = 2.2, ? = 1.5, and ? = 0.5. P(1 < X < 2)? P(X > 1.5)? What are the mean and standard deviation of X?IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = 1Q of an individual. (a) Find the z-score for an IQ of 97, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 97. (c) 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 (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. -1 3 4 -1.5 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. BIUX, x' C 次四 Edit. Insert - Formats - Σ ΣΗUse the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 117 pounds and a standard deviation of 39.8 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. = μx ox (Round to three decimal places as needed.) = Sketch a graph of the sampling distribution. Choose the correct graph below. A. B. O C. O D. A A A -108.1 8.9 125.9 90.3 117 143.7 -342.1 8.9 359.9 99.2 117 134.8
