Assignment Solutions
Let $X$ be a random variable of the continuous type with pdf given by: $$ \begin{aligned} f(x)& = \frac{1}{7}e^{-x/7}\\ &\qquad \text{ for }x > 0 \end{aligned} $$ Use the cdf…
The GRE is widely used to help predict the performance of applicants to graduate schools. The range of possible scores on a GRE is 200 to 900. The psychology department…
The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in longitudinal follow-up of high-risk infants. The scores on the MDI have approximately…
A random sample of 500 likely voters in a city is polled and 285 are found to be Democrats. Find 90, 95 and 99% approximate confidence intervals for the percentage…
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of…
In a large university, 15% of the students are female. If a random sample of twenty students is selected. a. What is the probability that the sample contains exactly four…
Left-Handed People Ten percent of American adults are left-handed. A statistics class has 25 students in attendance. a. Find the mean and standard deviation for the number of left-handed students…
In a certain city, incompatibility is given as the legal reason in 70 percent of all divorce cases. Find the probability that five of the next six divorce cases filed…
The success rate of corneal transplant surgery is 85%. The surgery is performed on six patients. (Adapted from St. Luke's Cataract & Laser Institute) (a) Construct a binomial distribution. (b)…
The number of planes arriving per day at a small private airport is a random variable having a Poisson distribution with $\lambda = 28.8$. What is the probability that the…
