Search & Filtering
Is partitioning the same as equal sharing? Explain and illustrate.
A courier service company has found that their delivery time of parcels two clients is approximately normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared).
a) what is the probability that a random selected parcel will take more than 26 minutes to deliver?
b) what is the minimum delivery time (minutes) for the 2.5% parcels with the longest time to deliver?
A short-term insurance company receives five motor vehicle claims, on average per day. Assume that the daily claims follow a poisson process.
What is the probability that more than two motor vehicle claims received in any given day?
An insurance company found that 25% of all insurance policies are terminated before their maturity date. Assume that 10 policies are randomly selected from the company's policy database. Assume a binomial experiment.
What is the probability that at most 8 policies and not terminated before maturity?
. Three airlines is providing services in Rajkot, a city in Gujarat. Airline ‘Saras’ has 50% of all the scheduled flights, airline ‘Yug’ has 30%, and airline ‘Pushpak’ has the remaining 20%. Their on-time rates are 80%, 65%, and 40%, respectively. A plane has just left on time from Rajkot Airport. What is the probability that it will reach to its destination on time? Note: It is mandatory to Prepare Probability Tree Diagram
A geological study indicates that an exploration oil well should strike oil with probability 0.2.
(a). What is the probability that the third strike comes on the seventh well drilled?
(b). What assumptions did you make to obtain the answers to part (a)?
(c). Find the mean and variance of the number of wells that must be drilled if the company wants to set up three producing wells?
Suppose that PTPTN would like to investigate if the repayment score and income level of an
individual are independent of one another. PTPTN selected a random sample of 164 employed
adults and asked them to report their repayment score and their income range. The repayment
score is measured based on the overdue of student loan repayment in months and the
following contingency table presents these results:
Annual Income Range (RM)
Repayment Score
Poor
(Over 3 months)
Average
(2 – 3 months)
Good
(Below 2 months)
Below RM 40 000
30
27
10
RM 40 000 – RM 80 000
17
20
15
Above RM 80 000
11
16
18
a. Set up the competing hypotheses to determine if the repayment score and income level
are dependent. (2 Marks)
b. What is the degree of freedom for the test? (1 Mark)
c. Calculate the value of the test statistic (𝜒2). (4 Marks)
d. Compute the p-value. (2 Marks)
e. Does the evidence suggest the repayment score and income level are dependent at the
1% significance level? (1 Mark)
If "Y" has a geometric distribution with success probability 0.3,what is the largest value of "y",such that "P9Y>y)>0.1" ?
Suppose that 30% of the applicants for a certain industrial job possess advanced training in "R" statistical software.Apllicants are interviewed sequentially and are selected at random from the pool.Find the probability that the first apllicant with advanced training in programming is found on the fifth interview?
An oil prospector will drill a succession of holes in a given area to find a productive well.The probability that he is successful on a given trial is 0.02.
(a). What is the probability that the third hole drilled is the first to yield productive well?
(b). If the prospector can afford to drill at most ten wells,what is the probability that he will fail to find a productive well?
