Concept explainers
Videos
Assume a Poisson distribution.
Want to see the full answer?
Check out a sample textbook solution
Chapter 5 Solutions
Basic Business Statistics, Student Value Edition
- Q60. Define gamma distribution with parameters 5 and 7 and obtain its moment generating function. Hence or otherwise find its mean and variance.arrow_forwardThe average American gets a haircut every 42 days. Is the average smaller for college students? The data below shows the results of a survey of 15 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.40, 37, 42, 46, 46, 28, 31, 39, 44, 31, 45, 39, 41, 42, 48What can be concluded at the the α= 0.05 level of significance level of significance? a. The test statistic= (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 3 decimal places. c. Based on this, we should the null hypothesis. Thus, the final conclusion is that ... a.The data suggest the populaton mean is significantly lower than 42 at α= 0.05, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 42. b.The data suggest the population mean number of days between haircuts for college students is not significantly lower than 42 at α= 0.05, so…arrow_forward= 11.1.★ Compute the Poisson distribution P(v) for µ Plot a bar histogram of Pos(v) against v. 0.5 and v= 0, 1, . . . , 6.arrow_forward
- Let. X have a uniform distribution on the interval (1,3). What is the proba- bility that the sum of 2 independent observations of X is greater than 5?arrow_forwardIf N = 48, find tcv and use it to draw a t distribution with the rare and common zones labeled. Assume the tes is 2 tailed and alpha is set at .05arrow_forwardA,B and Carrow_forward
- The English statistician Karl Pearson (1857-1936) introduced a formula for the skewness of a distribution. 3(x-median) S P=- Most distributions have an index of skewness between 3 and 3. When P > O the data are skewed right. When P < 0 the data are skewed left. When P = O the data are symmetric. Calculate the coefficient of skewness for each distribution. Describe the shape of each. (a) The coefficient of skewness for x = 17, s = 2.3, median = 19 is P = (Round to the nearest hundredth as needed.)arrow_forward2. Show that in a Lorentzian distribution the half width is r.arrow_forward3. Alice and Bob buy a bag of apples, which contains 10 good and 4 bad apples. They split the apples in half evenly: Alice and Bob each take 6 apples, chosen at random. Let Agood be the number of good apples Alice gets, and define Abad, Bgood, and Bbad similarly. Describe the distribution of Agood as a hypergeometric distribution (give its parameters). Then, write Abad, Bgood, and Bbad as functions of Agood-arrow_forward
- Assume a Poisson distribution. Find the following probabilities. a. Let A = 7.0, find P(X2 2). b. Let = 0.5, find P(Xs 1). c. Let A = 3.0, find P(Xs3). a. When A = 7.0, P(X2 2) = (Round to three decimal places as needed.) b. When 2 = 0.5, P(Xs1) =D (Round to three decimal places as needed.) c. When A = 3.0, P(Xs 3) = %3D (Round to three decimal places as needed.)arrow_forward3. Let X and Y have the joint distribution as indicated in the following table: X=0 X=1 Y=0 1/3 0 Y=1 0 1/3 Y=2 1/3 0 a. Give Ŷ, the linear MMSE estimate for Y given X. b. Give the MSE for Ŷ₁. c. Give YM, the MMSE estimate for Y given X. d. Give the MSE for YM.arrow_forwardSuppose x has a distribution with μ = 45 and σ = 14. Find P(41 ≤ x ≤ 46).arrow_forward
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill