Question

THE NORMAL DISTRIBUTION = BELL CURVE (GRAPH) the weights of a population of 12.000 two year old children are normally distribu u= 20 pounds and o =2 pounds. en are normally distributed with 2 -3 ----- --- 14 3 Z C is 2 22 24 (a) Indicate the correct weight for each z score in the graph above. . (b) What percent of the children weigh more than 22 pounds? (c) If one child is selected from this population, what is the probability the child weighs less than 16 pounds? (d) What percent of these children is between 18 and 22 pounds? (e) If one child is selected from this population, what is the probability the child is between 18 and 22 pounds? greater than 100 (f) What weight has a percentile rank of 98? (g) How many children have weights between 24 and 26 pounds? (h) If one infant is selected from this population, what is the probability the infant weighs m than 22 pounds?

Answer 1

solution :- (3 P(x3 22) = P(2-1) = 0.1587 = "150871% (C) P(x(16) = Plac-2) 0.0 228 (d) P1182XC 22) = Ploiezel = 0.6826 1 68.26 le) P ( 18 cxc22) = 0.6826) ) It percentile took for g8 (2) = 2.05 = x - 4 x = futur 20+2.0582 x = 24.17 19 P ( 24 1 X 26) = P (2 C263) - Jo.0215] Number of children - mp = 12,000 0.0215 I childrens = 1 258 (h) P (>92) = P(asal) = 0.1587) 0.1587