The height of 2 year old children are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2 year old children that could be a problem. Find the probability of these events a. A 2-year-old is taller than 36 inches. b. A 2-year-old is shorter than 34 inches. c. A 2-year-old is between 30 and 33 inches tall.
The height of 2 year old children are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2 year old children that could be a problem. Find the probability of these events a. A 2-year-old is taller than 36 inches. b. A 2-year-old is shorter than 34 inches. c. A 2-year-old is between 30 and 33 inches tall.
The height of 2 year old children are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2 year old children that could be a problem. Find the probability of these events a. A 2-year-old is taller than 36 inches. b. A 2-year-old is shorter than 34 inches. c. A 2-year-old is between 30 and 33 inches tall.
The height of 2 year old children are normally distributed with a mean of 32 inches and standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2 year old children that could be a problem.
Find the probability of these events
a. A 2-year-old is taller than 36 inches.
b. A 2-year-old is shorter than 34 inches.
c. A 2-year-old is between 30 and 33 inches tall.
Kindly SOLVE the problems using the Normal Distribtion Z Table (attached in the image) and SHOW THE GRAPH too, thanks.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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