Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.F(x)==0x²251X<00 4.5).5≤XUse the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 4),(b) Calculate P(3.5 ≤ x ≤ 4).(d) What is the median checkout duration ? [solve 0.5 = F(p)]. (e) Obtain the density function f(x).f(x)F'(x)=(f) Calculate E(X).(g) Calculate V(X) andV(X)0≤x<5otherwise(h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].

As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 x² 25 1 x < 0 0≤x<5 (c) Calculate P(X> 4.5). 5 ≤x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 4). (b) Calculate P(3.5 ≤ x ≤ 4).

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 x² 25 1 x < 0 0≤x<5 (c) Calculate P(X> 4.5). 5 ≤x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 4). (b) Calculate P(3.5 ≤ x ≤ 4).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 11E

See similar textbooks

Similar questions

For T:P4R5, and rank (T)=3, find nullity (T).
A random sample of 80 poultry farms of one variety gave an average production of 240 eggs per bird. Another random sample of 50 poultry farms of another variety gave an average production of 195 eggs per bird. At a=0.05 is there sufficient evidence to support that there is a significant difference between the egg production of the two varieties of birds. Assume o1 =18 eggs and o2=15 eggs
Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is more…
Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.65, and for n = 9 nonsufferers, the average output was 2.03. Let μ1 and μ2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal wit
What degrees of freedom would younormally expect a t test to have when N1 = 40 and N2 = 55?
LetX1,...,XnbeindependentandidenticallydistributedrandomvariableswithVar(X1)<∞.Showthat1n(n+1)nj=1jXj→pEX1.
The test statistic of z = 0.96 is obtained when testing the claim that p > 0.4. b. Find the P-value.
The test statistic of z equals 2.01 is obtained when testing the claim that p greater than n 0.2 a. Find the P-value.
Suppose that we have two attributes, gender and programs and, we observe the values of bothvariables through a random sample as given below: a. selected student is male or from the Computing Engineering b. selected student is female given that she is from Electronics and Instrumentation c. selected student is not from the Computing Engineering T =28
In a clinical trial, 22 out of 857 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.3%of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.3%of this drug's users experience flulike symptoms as a side effect at the alpha equals 0.05α=0.05 level of significance? Because np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing ▼ greater than> less than< not equals≠ equals= 10, the sample size is ▼ less thanless than greater thangreater than 5% of the population size, and the sample ▼ can be reasonably assumed to be random, is given to not be random, cannot be reasonably assumed to be random, is given to be random, the requirements for testing the hypothesis ▼ are are not satisfied. (Round to one decimal place as needed.)
In a random sample of 320 cars driven at low altitudes, 50 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 135 cars driven at high altitudes, 17 of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is less than the proportion of low-altitude vehicles exceeding the standard? Let p1 denote the proportion of low-altitude vehicles exceeding the standard and p2 denote the proportion of high-altitude vehicles exceeding the standard. Use the =α0.10 level of significance and the P -value method with the TI-84 Plus calculator. please state all steps to the p method clearly!
An instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…