Use the z-table to find the following probabilities P(0 < z < 2.46) = P(z < -2.10) = P(z >1.24)
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Use the z-table to find the following probabilities
P(z < -2.10) =
P(z >1.24)
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- The probability of getting a cracked egg at the grocery store is 15% (p = 0.15). In this binomial probability distribution, if a 12-egg carton is purchased, determine (to four decimal places of accuracy):a) The probability of getting exactly two cracked eggs.(P(x = 1) =b) The probability of getting at most one cracked egg.(P(x ≤ 1) =A news company reported that 7% of adult Americans have a food allergy. Consider selecting 10 adult Americans at random. Define the random variable x as x = number of people in the sample of 10 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3) (d) P(1 ≤ x ≤ 2)Determine the following probabilities. a. For n=5 and x=0.14, what is P(X=0)? b. For n = 11 and =0.50, what is P(X= 10)? c. For n = 11 and x = 0.60, what is P(X= 9)? d. For n=4 and x=0.83, what is P(X= 3)? a. When n = 5 and x = 0.14, P(X=0)= (Round to four decimal places as needed.) www.
- Find zo for the following probabilities: i) P(z ≥{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>≥</mo></math>"} zo) = 0.25A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.5%. What is the probability that in a random sample of 440 headache sufferers, no more than 256 obtain relief? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal placesFind the following probabilities: g) Pr{Z < −1.72 or Z > 1.72} (you want the probability that Z is outside the range −1.72 to 1.72)h) Pr{−1.72 < Z < 1.72} i) Add (g) and (h). Are you surprised? Why or why not?
- A news company reported that 6% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3) (d) P(1 ≤ x ≤ 2) You may need to use the appropriate table in the appendix to answer this question.6) Approximate the following binomial probabilities by the use of normal approximation.a.P(x< 12, n = 50, p = 0.3)b.P(12 <x< 18, n = 50, p = 0.3Find the following probabilities; P(0<z<2.32)
- A news company reported that 7% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3)Calculate the following probabilities in two decimal places: (a) Y is distributed x 1. Then, Pr( Y>9.49) = (b) Y is distributed to. Then, Pr( Y> -0.5) = (c) Y is distributed F4,- Then, Pr( Y 696 or Y<304) =2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)
