1. If the measure of systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 10, find the probability that a randomly selected person will have a systolic blood pressure below 130. Assume systolic blood pressure is normally distributed.    2. If an automobile gets an average of 27 miles per gallon on a trip and the standard deviation is 3 miles per gallon, find the probability that on a randomly selected trip, the automobile will get between 21 and 30 miles per gallon. Assume the variable is normally distributed.   3. The weights of 1,000 children average is 50 kg and the standard deviation is 5 kg. How many children weigh between 40 kg and 55 kg?

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

Q: A successful basketball player height is 203 cm. His converts to the z score of 4.10. How many…

A: Consider, X = 203  z-score = 4.10 z-score is a numerical value that tells the number of standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Given information-We have given that adults have IQ scores that are normally distributed.μ= 105σ =…

Q: A study found out that for a particular area, the average income per family is $24596 and the…

A: Solution

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: Scores on a test have a mean of 6 and a standard deviation of 9. Michelle has a score of 57. Convert…

A:

Q: The length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4     The random variable  is length of fully grown…

Q: Assume that human body temperatures are normally distributed with a mean of 98.06°F and a standard…

A: Given: Mean μ=98.06 Standard deviation σ=0.86 The above 5% people are to exceed the required…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A:

Q: On the daily run of an express bus, the average number of passengers is 48. The standard deviation…

A: Let "X" be the average number of passengers on the daily run of an express bus.

Q: A normal distribution is observed from the body weights of the forty students in a class. If the…

A: Given information Mean (µ) = 125 Standard deviation(σ) = 9 As per empirical Rule 68% falls within…

Q: Systolic blood pressure is a measure of the force your heart exerts on the walls of your arteries…

A: GivenMean(μ)=116.91standard deviation(σ)=6.354and given adult's systolic blood pressure is…

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean of 35cm and a…

A: Given that, The random variable X is length of fully grown hibiscus plant. It is normally…

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation…

A: We have given that.  Mean = 270 , Standard deviation = 15 , We need , Part (a): p(x greater than…

Q: In a departamental examination in  statistics given to 500 students, the mean score was 75 with a…

A: Any descriptive value calculated from a population is calleda. statisticsb. parameterc. meand.…

Q: On the daily run of an express bus, the average number of passengers is 48. The standard deviation…

A: Mean = 48 Standard deviation = 3

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value…

A: Reviewing information, Given, μ=mean=4.68σ=standard deviation=2.83x=9.38

Q: Find the probability for each house that the electric usage will not exceed 400W. 2. Find the…

A:

Q: Assume the birth weights at a local hospital have a normal distribution with a mean of 110 oz and a…

A: Let , random variable x follows normal distribution with mean μ and standard deviation σ 1) The…

Q: Sketch the distribution and shade the area corresponding to the probability you want to find. Then.…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: Refer Standard normal table/Z-table to find the probability of z=2.67.

Q: tain population, the mean score on a test is 420.  The standard deviation is 105. If the…

A: a. The z score can be calculated as: z=X-uσ=385-420105=-0.333 b. The z score can be calculated as:…

Q: Suppose a class average on a test is 75 and the standard deviation is 10. if joe scores 80 on the…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.