3.14 Find the SD: Find the standard deviation of the distribution in the following situations. Round your answers to 1 decimal place. a) MENSA is an organization whose members have IQs in the top 2% of the population. IQs are normally distributed with mean 100, and the minimum IQ score required for admission to MENSA is 133. What is the standard deviation? b) Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 186 milligrams per deciliter (mg/dl). Women with cholesterol levels above 218 mg/dl are considered to have high cholesterol and about 18.5% of women fall into this category. What is the standard deviation? Submit All PartsQuestion 6

Does anyone know how to do geometryme with this problem

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.