The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 245.6 and a standard deviation of 64.4. (All units are 1000 cells/µL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8? b. What is the approximate percentage of women with platelet counts between 181.2 and 310.0? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 52.4 and 438.8. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 181.2 and 310.0. (Type an integer or a decimal. Do not round.)

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean…

A: (a) According to the empirical rule, approximately 68% of the observations fall within 1 standard…

Q: A researcher suspects that the level of a particular stream's pollutant is higher than the allowable…

A: Solution: State the hypotheses. Null hypothesis: H0: µ≤4.2 That is, the stream’s pollutant level…

Q: The heights of women has a bell-shaped distribution with a mean of164 cm and a standard deviation of…

A: Let x be a height of woman that follows normal distribution with mean of 164 cm and standard…

Q: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.3…

A: From the provided information, Mean (µ) = 253.3 Standard deviation (σ) = 67.1 Let X be a random…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Mean = 98.25 Standard deviation = 0.66

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Empirical rule :  According to empirical rule ,  68% of data falls within the first standard…

Q: A typical home doorway has a height of 80 in. Given that the heights of men are normally distributed…

A: a) Suppose a random variable X, defines the height of men.

Q: The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters…

A: Given that the finished inside diameter of a piston ring is normally distributed with a mean of 10…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: A particular manufacturing design requires a shaft with a diameter of 21.000 ​mm, but shafts with…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard…

A: Let us consider X be a random variable which is used to denote resistance. It is given that we can…

Q: A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with…

A: Press 2ND and VARSChoose normalcdf

Q: A particular manufacturing design requires a shaft with a diameter of 24.000 mm, but shafts with…

A:

Q: deviation

A: Let X = IQ of an individual. IQ of the ruling species is normally distributed with a mean of 118 and…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Mean = 98.2 Standard deviation =0.48

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: a. Empirical rule: The probability that the observation under the normal curve lies within 1…

Q: A certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard…

A: We want to find the probability (%)

Q: The average score of local students on a college entrance exam is 110 with standard deviation of 15.…

A: Empirical rule: According to empirical rule, approximately 68% of data falls within one standard…

Q: A sample of 50 copper wires had a mean resistance of 1.03 mΩ with a standard deviation of 0.1 mΩ.…

A:

Q: Approximately (  blank) % have body temperatures within 2 standard deviations of the​ mean, or…

A: Given : The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: a. Empirical rule: The probability that the observation under the normal curve lies within 1…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Note: Hi there! Thank you for posting the questions. As there are several independent questions.…

Q: An SRS of 20 orangutans is selected, and 65 cc of blood is to be drawn from each orangutan using a…

A: Given that, Mean = 64 Standard deviation = 12 Sample size = 20

Q: . A hat company found women had a mean head circumference of 57.46 cm and a standard deviation of…

A: According to empirical rule 95% of the data lie within 2 standard deviation and approximately 99.7%…

Q: A particular manufacturing design requires a shaft with a diameter of 19.000 mm, but shafts with…

A: Here, X: The diameter of a shaft ~ N(19.004, 0.0042). Then,X~N(19.004,0.0042)⇒Z=X-19.0040.004~N(0,1)

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A:

Q: A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with…

A: From the provided information, Mean (µ) = 21.002 Standard deviation (σ) = 0.006 X~N (21.002, 0.006)…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Solution: Let X be the body temperature of a healthy adult. From the given information, X follows…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: The lengths of a large stock of titanium rods follow a normal distribution with a mean (u) of 440 mm…

A: Given that, The lengths of a large stock of titanium rods follow a normal distribution with a mean…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: From the provided information, Mean (µ) = 98.18oF Standard deviation (σ) = 0.67oF

Q: A particular manufacturing design requires a shaft with a diameter of 19.000 ​mm, but shafts with…

A: Given,mean(μ)=19.003standard deviation(σ)=0.004

Q: Assume the average income of workers in jordan equal 400 JD, a sample of 500 workers are taken and…

A: please see the next step for solution

Q: A 7,000-seat theater is interested in determining whether there is a difference in attendance…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3)…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: (a) Obtain the approximate percentage of healthy adults with body temperatures within 2 standard…

Q: 2. The owner of a factory that sells a particular bottled fruit juice claims that the average…

A: Given: population mean(μ)=250sample size(n)=100sample mean (x¯)=248standard deviation(σ)=5

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Given that, Mean = 98.34 Standard deviation = 0.56

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Given information: μ=98.39σ=0.56 Empirical Rule: 68% of values lies between one standard…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: Given information Mean (µ) = 98.14 F Standard deviation(σ) = 0.43 F As per empirical Rule 68% falls…

Q: A 20,000-piece manufacturing run of 2200 resistors has a mean value of 2200 (naturally!) and a…

A: Given Information: Consider the given information:     Mean μ=2200Standard deviation σ=2.50

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Given : Mean = u = 98.06 Standard deviation = σ = 0.45

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: According to the empirical rule, in the standard normal curve, approximately 68% of the area is…

Q: . For this​ process, what is the proportion of shafts with a diameter between 23.991 mm and 24.000…

A: According to the answering guidelines we can answer only three subparts of a question and the rest…

Q: When Wyatt commutes to work, the amount of time it takes him to arrive is normally distributed with…

A: The arriving time to work (X) is normally distributed with mean (μ) = 45 minutes and standard…

Q: The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of…

A: (a) Empirical rule: About 68% of all possible observations lie within one standard deviation from…

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!