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Nan MAT238 ormal Distribution Review 1) Suppose the reaction times of teenage drivers are normally distributed...
A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.48...
A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.489 seconds and standard deviation of 0.07 seconds.a. A person is selected at random from Group X. Find the probability that their reaction time is greater than 0.65 seconds. The participants in Group Y are 40 years or older. Their reaction times are normally distributedb. The participants...
A nationwide study on reaction time is conducted on participants in two age groups. The participants...
A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.489 seconds and standard deviation of 0.07 seconds. a. A person is selected at random from Group X. Find the probability that their reaction time is greater than 0.65 seconds. The participants in Group Y are 40 years or older. Their reaction times are normally distributed b....
The 100-meter race times at a state track meet are normally distributed with a mean of...
The 100-meter race times at a state track meet are normally distributed with a mean of 14.62 seconds and a standard deviation of 2.13 seconds. Using the Standard Normal Probabilities table, what is the approximate probability that a runner chosen at random will have a 100-meter time less than 15.5 seconds? 1. 0.1894 2. 0.3409 3. 0.6591 4. 0.7910
Reaction time is normally distributed, with a mean of 0.6 sec and a standard deviation of...
Reaction time is normally distributed, with a mean of 0.6 sec and a standard deviation of 0.1 sec. Find the probability that an individual selected at random has the following reaction times. (Round your answers to four decimal places.) (a) greater than 0.7 sec (b) less than 0.4 sec (c) between 0.4 and 0.7 sec
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
1) a) A manufacturer knows that their items have a normally distributed length, with a mean...
1) a) A manufacturer knows that their items have a normally distributed length, with a mean of 13.4 inches, and standard deviation of 2 inches. If one item is chosen at random, what is the probability that it is less than 7.5 inches long? b) A manufacturer knows that their items lifespans are normally distributed with mean = 14.2 and standard deviation = 3.9. What proportion of the items' lifespans will be longer than 25 years? c) A particular fruit's...
Suppose that the time duration of a minor surgery is approximately normally distributed with mean equal...
Suppose that the time duration of a minor surgery is approximately normally distributed with mean equal to 800 seconds and a standard deviation of 40 seconds. Find the probability that a random sample of 16 surgeries will have average time duration of less than 775 seconds. Use the central limit theorem 9-
The amount of time to complete a physical activity in a PE class is approximately normally...
The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 39.7 seconds and a standard deviation of 5.3 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 36.2 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 46.4 seconds? c) What proportion of students take between 36.5 and 43.8 seconds to complete...
Suppose you are running an experiment investigating drivers’ response times to a stop sign. Response time...
Suppose you are running an experiment investigating drivers’ response times to a stop sign. Response time is defined at the time the driver puts their foot on the break until the driver comes to a complete stop and is measured in seconds. The data is as follows: 7, 8, 9, 6, 11, 9, 5, 12, 15, 10, 11, 6, 8, 8, 14. Plot a normal probability plot. Is the data normally distributed? Explain.
3. Assume that the men's weight is normally distributed with an average of 172 pounds and...
3. Assume that the men's weight is normally distributed with an average of 172 pounds and a standard deviation of 29 pounds. Define a variable. Associate the random variable with a distribution and its parameters If a man is selected at random, what is the probability that his weight is greater than 175 pounds? If a sample of 20 men is chosen at random. What is the probability that the average weight is greater than 175 lb?
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
Suppose that the time duration of a minor surgery is approximately normally distributed with mean equal to 800 seconds and a standard deviation of 40 seconds. Find the probability that a random sample of 16 surgeries will have average time duration of less than 775 seconds. Use the central limit theorem 9-
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