A population of values has a normal distribution with 116.3 and a 60.6. You intend to draw a random sample of size n = 78. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 114.2. PIX> 114.2) - Find the probability that a sample of size n = 78 is randomly selected with a mean greater than 114.2. P(>114.2) -

Describe the 68-95-99.7 rule for the normal distribution. If the average score on an exam is 85 and the standard deviation is 5, using the 68-95-99.7 rule, describe the distribution of the student’s scores.

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. angle. 9 ! 1 9 a Z ← @ 2 W S X # 3 e d C C $ 4 r f % 5 V t Oll A 6 Normal Table - to-z Normal Table - to z b y h & 7 n O u * 8 3 O i N ( 9 k O < 1 alt ) 0 1 Р O - : Tables ; Submit Answer 4 ? 1 + = Keypad Keyboard Shortcuts 31 11 1 Oct 28 }. backspace 1 USE YOUR SMARTPHONE FOR 2:53 3 D45 enter

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The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 1. Find the probability that a person will walt for less than 7 minutes. Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. 1 hp angle. q a Z F @ 2 W S 320 3 e d C $ 4 r f % 5 V t g Normal Table - to-z Normal Table - to z 6 O Oll b y hp h & 7 O n u J - * 8 N O i m 9 k * O : Tables ctrl Keypa Keyboard Shortc Submit Answer { D + = ? Oct 27 11 } 5:21 8 back 1 USE YOUR SMARTIN Reviews - Videog Spass Sun

A particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.

A population of values has a mean of 59.6 and standard deviation of 35.4. Find the probability that a sample of 58 values from this population will have a mean between 52.6 and 63.8.Enter your answers as numbers accurate to 4 decimal places.

A psychologist has designed a questionnaire to measure individuals' aggressiveness. Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80. Suppose also that exactly 15% of the scores exceed 750. Find the mean of the distribution of scores. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm.Find P15, which is the length separating the shortest 15% rods from the longest 85%.P15 = -cm