Question

not sure how to do this

O In a family with children the probability that all the children are girls is apporimately 0.125. In a random sample of 1000 miles with children, what is the apposaimate probability that 100 or fewer will have 3 girls? Approximate a binomial distribution with a normal distribution TT Click the icon to view the area under the standard normal curve table The probability that 100 or fewer families will have 30 Round to four decimal places as needed) Backspace # 3 4 2 5 6 8 E Q TOD RT K L А. S D F G H J Caps Lock

Answer 1

Foto given inarandon Sample 2 1000 familer 1 - 1000 Probability that all the children are girls is P = 0.125 Binominal Combe Manp - 10008 0.125 = 125 MPG-) 1000 X0-125 10128) 1000X0125 (0-8 0.875 10.45825 110.458. PXL 100 Value between qq.5 and 100.5 both approximate toloo Ther. Ley than or equal to loo. Corresponds to continuous normal distribution with X 2 100.5 after continely correction, Normal Distribution x = 100-5 ll 125 stos T 10.458 Now convert this to Standard normal usis 2 = X-M

then the reset w would bee 2 = 100.5-125 10.458 -2.34 P(x2100.5 - Area to the left of 100.5 PH L 100.5) = P(22-2-34) (from 2-table) (26.-934) -0.0096 0.0096 P[XL100) -0.0096 cil we Sloved this proble without continuity Comechico PlXZ 100) = P2_-2-39) 0.0084 without integer continuity correction P&2100) = 0-0084 *1 Here te Instead of 2- table if used & excel them id would be P(x2100) = 0.0096 in Excel it is [ 0.00 95737 P(x2100) = 0.0084 in Excel Sc.10.00841370