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1. Find the following probabilities for the standard normal random variable z.a. P(z>1.37) b. P(z< -1.40) c. P(0.51 ≤ z ≤ 2.37) d. P(- 2.30 < z > 1.61)(Round to three decimal places)a. ?b.?c.?d.?2. . Find the area under the standard normal probability distribution between the following pairs of z - scores.a. z=0 and z=2.00b. z=0 and z=3.00c. z=0 and z=1.00d. z=0 and z=0.58(Round to three decimal places)a. the area under the standard normal probability distribution is?b. the area under the standard normal probability distribution is?c. the area under the standard normal probability distribution is? d. the area under the standard normal probability distribution is? 3. Find the area under the standard normal probability distribution between the following pairs of z - scores.a. z=0 and z=3.00b. z=0 and z=1.00c. z=0 and z=2.00d. z=0 and z=0.62(round to three decimal places)a. the area under the standard normal probability distribution is?b. the area under the standard normal probability distribution is? c. the area under the standard normal probability distribution is?d. the area under the standard normal probability distribution is?4. Find the following probability for the standard normal random variable z.(Round to three decimal places)P( - 2.5 ≤ z ≤ 2.5) =
Supposing a linear relationship, use the least squares method to find the regression coefficients b 0 and b 1 .
Computing probability values using normal distribution - Find the proportion of the observations will fall in the interval from 40 to 60?
How many selections result in all 6 workers coming from the day shift? What is the probability that all 6 selected workers from the day shift?
At least half the patients are under 15 years old? First, explain how this can be modeled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20%.
Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant. With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
The average thickness of books on a library shelf is 8.3 centimeters.the standard deviation is 0.6 centimeter. If 20% of the books are oversied, find the minimum thickness of the oversized books on the library shelf.
A lab test is 95% effective in detecting a disease. The test gives a false positive (reports the patient has disease when they do not) for 1 % of the healthy population tested.
The following table is based on information taken from the Medical Practice Characteristics section of the Statistical Abstract of the United States
Using this information, calculate Blpha risk (probability of Type II error) if the true population mean really is 81.
What is given is the mean=27.2 kilograms and standard deviation=4.3 kilograms. I attempted to work out a which I know is wrong but this is what I did.
Bougainvilleas, mean growth rate was 2.23 inches/week and sample standard deviation was 0.77 inches/week. Determine a 90% confidence interval for mean growth rate of all Bougainvilleas.
Thirty-five percent of the Democrats and 70% of the Republicans favor the bill. The bill needs a simple majority to pass. Using a probability tree, determine the probability that the bill will pass.
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