If an Explanatin can be given that would be great!

The time to complete an exam is approximately Normal with a mean of 47 minutes and a standard deviation of 4 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. # = 47 0=4 H- 30 4-20 4-g H+0 H+20 4+30The results of a common standardized test used in psychology research is designed so that the population mean is 160 and the standard deviation is 50. A subject earns a score of 135. What is the z-score for this raw score? z-score = Points possible: 1 LiceWeights for a certain species of newt are normally distributed with a mean of 42 grams and standard deviation 5 grams. The bell curve below represents the probability distribution for newt weights. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes. # = 42 0 = 5On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 112 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual. Round all your answers to 2 decimal places if necessary. a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected person's IQ is over 99. c. A school offers special services for all children in the bottom 2% for IQ scores. What is the highest IQ score a child can have and still receive special services? d. Find the Inter Quartile Range (IQR) for IQ scores. Q1: Q3: IQR: Helpful videos: P(x a number) , P(x is between two numbers) , Finding a percentile , Using the invNormal with greater than problems , Finding the IQR Hint Textbook Pages Get help: Video VideoThe weights for newborn babies is approximately normally distributed with a mean of 6.9 pounds and a standard deviation of 2.1 pounds. Consider a group of 1300 newborn babies: 1. How many would you expect to weigh between 4 and 8 pounds? 2. How many would you expect to weigh less than 7 pounds? 3. How many would you expect to weigh more than 5 pounds? 4. How many would you expect to weigh between 6.9 and 10 pounds? Get help: Read VideoThe graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $60. 820 880 940 1000 1060 1120 1180 Distribution of Prices Q What is the approximate percentage of buyers who paid less than $820? % What is the approximate percentage of buyers who paid between $1000 and $1120? % What is the approximate percentage of buyers who paid between $940 and $1000? % What is the approximate percentage of buyers who paid less than $880? % What is the approximate percentage of buyers who paid between $940 and $1060? % What is the approximate percentage of buyers who paid between $820 and $1000? % Get help: Video