Question

During a study about the general public's understanding of calorie density of certain foods, a large sample of participants were given the exact same meal which contained 1,025 kcal. After the patients saw and ate the meal, they were asked to estimate how many calories were in the meal. Responses were normally distributed, with a mean of 850 kcal, and a standard deviation of 164 kcal. Standard Normal Distribution Table Calculate the probability that a randomly-selected participant will make a guess of: (i) Less than 500 kcal P(X < 500) = 0 (ii) Greater than 1,025 kcal P(X > 1,025) = : 0 (iii) Between 990 and 1,040 kcal P (990 < X < 1,040) =

Answer 1

Date Pede - Az X. 07) P(ZX1107)-108577 PEx > 10251 - 70.85711 Ans. iii) Between qqc and 1040 kcal di PC 990 Haa LX 2.1040) nafago Krxh p( 990 - u L x-4 L 10.40-4) 0 - 850 2 7 L 1040 - 850 164 164 L L L 190 164 164 Pt 0.85 1ZL 1.16 p(2 61016) - P (200.85)-2 P4 - 0.8770 - 0.8023 - 0.07427 'P ago LX a 1040) =) 0.0747 Ic scanned with Cam danner