Find the expected number of people

Assignment Help Basic Statistics

Reference no: EM131005838

1. A coin is randomly selected from a group of ten coins, the nth coin having a probability n/10 of coming up heads. The coin is then repeatedly ?ipped until a head appears. Let N denote the number of ?ips necessary. What is the probability dis- tribution of N? Is N a geometric random variable? When would N be a geometric random variable; that is, what would have to be done differently?

2. You are invited to a party. Suppose the times at which invitees are independent uniform (0,1) random variables. Suppose that, aside from yourself, the number of other people who are invited is a Poisson random variable with mean 10.

(a) Find the expected number of people who arrive before you.

(b) Find the probability that you are the nth person to arrive.

Reference no: EM131005838

Questions Cloud

Draw the predator isocline : Discuss (verbally) whether this effect of predator interaction makes sense to you - do -insects show outbreaks on plants? What role does the fact that the exact form of the predation rate is not critical here have on your drawing conclusions from ..

Problem regarding the monotone function : Do you think that f (p) is a monotone function of p? If so, is it increasing or decreasing?

Find a formula for nth term of the sequence of partial sums : Find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→∞ Sn to obtain the value of the series or state that the series diverges.

Number of traf?c accidents tomorrow : 1. Data indicate that the number of traf?c accidents in Berkeley on a rainy day is a Poisson random variable with mean 9, whereas on a dry day it is a Poisson random variable with mean 3. Let X denote the number of traf?c accidents tomorrow. If it..

Find the expected number of people : (a) Find the expected number of people who arrive before you. (b) Find the probability that you are the nth person to arrive.

Describe makeup of an effective team : Assignment: Effective Teams - Understand that a team is related to process improvement, Describe makeup of an effective team and Explain the processes of a team

Describe problem issue or situation that you have observed : Describe a problem, issue, or situation that you have observed during your Practicum Experience

What is the annual inventory cost of the current system : What is the annual inventory cost of the current system in which product is produced, labeled, and packed in Malaysia before being shipped to the DC?

Variance of the number of days until the prisoner : Assuming that the prisoner will always select doors 1, 2, and 3 with probabilities 0.5, 0.3, 0.2, what is the expected number of days until he reaches freedom? Assuming that the prisoner is always equally likely to choose among those doors that he..

User Account

All Pages