Brain cancer is a rare disease. In any year there are about 3.1 cases per 100000 od population. Suppose a small medical insurance company has 150000 people on its books. How many claims stemming from brain cancer should the company expect in any year? What is the probability of getting more than 6 claims related to brain c
Suppose that X is a random variable which can possibly choose 1,2,3,4 with probability P(X=i)=ci, where c is a constant. Find c
Samples of size 49 are drawn from a population with a mean of 36 and a standard deviation of 15. What is the probability that the sample mean is less than 33?
Radiation: The atoms of a radioactive element are randomly disintegrating and emitting alpha particles. The number of alpha particles emitted per second from these atoms during a 30 second period is recorded as follows. 9.38 8.08 8.36 10.44 9.44 8.05 17.78 7.56 14.17 6.73 9.81 4.79 11.98 9.48 6.32 14.
A standard die has its faces painted different colors. Faces3,4,6 are red, faces 2 and 5 are black and face 1 is white. a) Find the probability that when the die is rolled, a black or even numbered face shows uppermost. a game is played by rolling the die onvce. If any of the red faces show uppermost, the player wins the
Let X and Y have the joint pdf f x,y(X,Y) = 2e^(-(x+y)) , 0<x<y , 0<y Find P(Y<3X)
If there are repeated dependent trial, what distribution should be used? a. binomial b. multinomial c. Poisson d. hypergeometric
At a school, the children miss school 17% of the days. If one classroom has 12 children, what is the probability that no children will be absent on a given day. a. .107 b. .17 c. .201 d. .001
A retail sales worker finds that the probability of making a sale is .23. If she talks to four customer today, what is the probability of her making four sales? a. 0.003 b. 0.03 c. 0.30 d. 0.001
A shipment of 50 VCRs had 6 defectives. If a person bought two cameras, find the probability of getting 2 defectives. a. .50 b. .10 c. .0122 d. .05
A bowl contains 6 red, 4 black, and 3 yellow marbles. How many ways can 2 red, 2 black, and 1 yellow marble be drawn. a. 270 b. 540 c. 625 d. 100
If the outcome of one event does not affect the probability of another even, the two events are considered: a. independent b. mutually exclusive c. dependent d. none of the above
Find the probability of drawing a jack from a ordinary card deck.
Probability distribution and functions
1) A record store owner wants to determine consumer tastes. She decides to observe customers in her store on a particular day and record the number of minutes the each spends in the Alternative Music and Rap sections of the store. She came up with the following data: Alternative Music Rap Mean = x = 25 Mean = 20 St
Find the mean, standard deviation and probability distribution for the given problems.
Find the expected profit in the given question. The Wilhelms Cola Company plans to market a new pineapple-flavored cola this summer. The decision is whether to package the cola in returnable or in no-return bottles. Currently, the state legislature is considering eliminating no-return bottles. Tybo Wilhelms, president of Wilh
1. A committee consists of five Chicanos, two Asians, three African Americans, and two Caucasions. a) A subcommittee of four is chosen at random. What is the probability that all the ethnic groups are represented on the subcommittee? b) Answer the question for part (a) if a subcommittee of five is chosen. 2. The game of Ma
There are 5 pairs of shoes with distinct size. Now choose any 4 from it randomly, find the probability that they form at least a pair.
1. On February 8, 2002, the Gallup Organization released the results of a poll concerning American attitudes toward the 19th Winter Olympics in Salt Lake City, Utah. The poll results were based on telephone interviews with a randomly selected national sample of 1011 adults, 18 years and older, conducted February 4 - 6, 2002.
1) A videotape store has an average weekly gross of $1,158 with a standard deviation of $120. Assuming this to be a normally distributed random variable, calculate the following: a. Probability the weekly gross will exceed $1,261. b. Proportion of weeks the weekly gross is less than $1,080. c. Probability the weekly gross is
1) A survey revealed that 21.5% of the households had no checking account, 66.9% had regular checking accounts, and 11.6% had NOW accounts. Of those households with no checking account 40% had savings accounts. Of the households with regular checking accounts 71.6% had a savings account. Of the households with NOW accounts 7
Because of a recent incident in which a number of people became ill after eating undercooked hamburger meat, intensive interest has centered around the cooking time for hamburger patties. In the past, the cooking time at a local fast food firm has been found to be uniformly distributed between 4 and 5 minutes. a) A TV report
1.The Census Bureau reports that 55% of all 3-to-5-year-old children attended preschool programs at least a portion of the day. If 18 children are chosen at random, what is the probability that fewer than six children attend such a program? 2. Experimenters in ecology found that the average density of zooplankton in a pond w
702) On any given day the number of leasable square feet of office space available in a small city is a normally distributed random variable within mean of 850,000 square feet and a standard deviation of 25,000 square feet. The number of leasable square feet available in another city is normally distributed with a mean of
Find the probability and the z-value for the questions attached.
What is a discrete random variable and how does it differ from a continuous random variable? Give examples.
What is the 'Equally-likely Outcomes Model of Probability?" What is the formula for this model of probability?
A retail grocer has decided to market organic "health food" and will purchase a new line of products from each of two suppliers. Unknown to the grocer, the two suppliers are in financial distress. Past experience has shown that, for firms with similar credit histories, the probability that bankruptcy will be initiated one year
Please help me with the following problem: The city of a particular community consists of five elected residents of the community, two of whom are land developers. The city mayor plans to elect two members at random from the council to study and make recommendations on land use rezoning requests. The composition of this su