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My friend stella used to work in a taxi call centre . On any normal day she would expect to take 6calls every 10minutes.
- What is the probability that she takes 6calls in the next 10 minutes
- she takes a short break between 1023 and 1028 what is the probability that she misses no calls in this period.
The number of miles that a particular car can run before its battery wears out is exponentially distributed with an average of 10,000miles.
- The owner of the car needs to take a 5000 mile trip. What is the probability that he will be able to complete the trip without having to replace the car battery?
- What is the probability that the lifetime mileage of the car battery exceed the lifetime by more than 0.25 standard deviations?
The moment generating function of a random variable Y is given by M(t)=(5e-t-4)-t. Find the standard deviation of y
The standard deviation is a measure of the average deviation from the mean
True or False
The standard deviation is a measure of the average deviation from the mean
The p.d.f of a continuous random variable is give
P(x) ={ kx (1-x) e^x , 0 ≤ x ≤ 1
{ 0, otherwise
Find k and hence find mean and standard deviation
Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Find the probability of observing no positive reading if all suspects plead innocent and are telling the truth.
Find each of the following percentile points under the normal curve.
1.P98
2.P80
3.P64
4.P42
5.P30
Example 3.3.1. San Miguel Corporation gives a monthly benefit to their employees during the COVID19 pandemic. They claimed that the average monthly benefit of their employees is at least Php 5
,
000.00
. A random samp\)35
employees were taken as samples to verify the said claim and found that their average monthly benefit is Php 6
,
000.00
with a standard deviation of Php 600.00
. Is the company's claim correct at 0.05
level of significance? Assume that the population is approximately normally distributed.
An average of 10 cars per hour arrive to the bank at a single server drive-in teller. Assume that the average service time for each customer is 4 minutes, and both interarrival and service times are exponential. What is the probability that the arriving car waits for the teller.
