uppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at le decimal places. (a) P(Z ≤ -0.97) = 0
Q: (a) P(Z ≤ -1.70) = 0 (b) P(Z > -1.51) = (c) P (0.87 <Z<2.12) = 0
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Suppose Z follows the standard
decimal places.
(a) P(Z ≤ -0.97) = 0
(b) P(Z > 1.98) = 0
(c) P(-0.97 Z-2.15) =
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- In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 58% of all customers will take free samples. Furthermore, of those who take the free samples, about 41% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 301 customers passed by your counter. (Round your answers to four decimal places.) (a) What is the probability that more than 180 will take your free sample? (b) What is the probability that fewer than 200 will take your free sample? (c) What is the probability that a customer will take P(buy|sample) = 0.41, while P(sample) = 0.58. free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability (d) What is the…4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?4qs
- In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you take the free samples offered in supermarkets? About 57% of all customers will take free samples. Furthermore, of those who take the free samples, about 37% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 326 customers passed by your counter. (Round your answers to four decimal places.) (a) What is the probability that more than 180 will take your free sample? (b) What is the probability that fewer than 200 will take your free sample? (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability P(buy|sample) = 0.37, while P(sample) = 0.57.(d) What is the…In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.Do you take the free samples offered in supermarkets? About 60% of all customers will take free samples. Furthermore, of those who take the free samples, about 35% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 311 customers passed by your counter. (Round your answers to four decimal places.) (a) What is the probability that more than 180 will take your free sample?(b) What is the probability that fewer than 200 will take your free sample?(c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability P(buy|sample) = 0.35, while P(sample) = 0.60.(d) What is the…Consider the following returns and states of the economy for TZ.Com.: Economy Probability Return Weak 15% -9% Normal 50% 1% Strong 35% 6% What is the standard deviation of TZ's returns? SET YOUR CALCULATOR TO FOUR DECIMAL PLACES AND ROUND TO 2 DECIMAL PLACES AT THE END. DO NOT ENTER THE %. FOR EXAMPLE, IF YOUR ANSWER IS 7.7011% ENTER IT AS 7.70.
- S1Exercise #2 Use the Using Excel for Normal Probabilities instructions for the following. In a recent year, the ACT scores for high school students with an A or B grade point average were normally distributed with a mean of 24.2 and a standard deviation of 4.2. A student with an A or B average who took the ACT during this time is selected. 1. Find the probability that the student’s ACT score is less than 20. 2. Find the probability that the student’s ACT score is greater than 31. 3. Find the probability that the student’s ACT score is between 25 and 32. 4. Find the probability that in a sample of size 100, the mean ACT score is between 25 and 32. 5. Find the cutoffs for the middle 90% for the mean ACT scores in a sample of size 100.The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
- Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z S 1.13) = | (b) P(Z > -209) = 0 (c) P(0.79 < z < 2.17) = 0Suppose the returns on a particular asset are normally distributed. Also suppose the asset had an average return of 12.1% and a standard deviation of 26.6%. Use the NORMDIST function in Excel to determine the probability that in any given year you will lose money by investing in this asset. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.): Probability 32.46 %
