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Given the Standard Normal distribution, find the following
(a) P(Z < 1.8)
(b) P(−1.1 < Z ≤ 1.8)
(c) P(−1.8 ≤ Z ≤−1.1)
(d) P(Z > −2.5)
(e) P(Z > −0.95)
(f) P(Z < −0.95)
(g) P(Z ≥ 2.18)
(h) P(Z > 10)
When turning at 1500 rev/min, a certain generator produces 100.0v. What must be its frequency in rev/min if it is to produce 120.0v
Two charges are on the x-axis. Charge q 1= +35 nC is at x = 3.00 cm while charge q 2= -65nC is at x = 6.00 cm. Find the magnitude and direction of
a) the electric force that q 1 exerts on q2 ; and
b) the electric force the q 2 exerts on q1 .
2. A positive charge of 10 -8 coulombs (C) experiences a force of 0.95 N when located at a certain point in an electric field. Find the intensity (magnitude) of the electric field at that point.
The number of claims per month paid by an insurance company is modelled by a random variable N with p.m.f satisfying the relation
p(n + 1) =
1/3p(n), n = 0,1,2,...
where p(n) is the probability that n claims are filed during a given month
(a) Find p(0).
(b) Calculate the probability of at least one claim during a particular month given that there have been at most four claims during the month.
The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the tunnel during a brief period of time produces a hazardous situation. Find the probability that the number of autos entering the tunnel during a two-minute period exceeds three. Does the Poisson model seem reasonable for this problem?
Select an art work from the books or objects. And describe its qualities, characteristics, construction etc and how you feel about it.
(a) The random variable Y has a Poisson distribution and is such that P(Y = 0) = P(Y = 1). What is P(Y 2 = 1)?
(b) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a one-minute phone call, what is the probability that at least 1 car arrives during the call?
draw the cis and trans isomers of 3,4- dimethyl - 3- hexene
Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. During a given hour, what are the probabilities that
(a) no more than three customers arrive?
(b) at least two customers arrive?
(c) exactly four customers arrive?
A salesperson has found that the probability of a sale on a single contact is approximately .03. If the salesperson contacts 100 prospects, what is the approximate probability of making at least one sale?
#339914 on Dec 2023