Search & Filtering
f(x)= {k(3-x^2), -1<x<1,
.........0,(included on the bracket) elsewhere
(a) Determine k that renders f(x) a valid density function. (Fraction form)
(b) Find the probability that a random error is more than 0. (Fraction form)
(c) Find the probability that a random error is within -1/2 and 1/2. (Fraction form)
f(x)= {20000/(x+100)^3, x>0,
.........0,(included on the bracket) elsewhere.
(a) at least 365 days. (Decimal form)
(b) at most 365 days. (Decimal form)
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. Considering that y is the number of non-defective sets purchased by the hotel
(a) What are the values for the set of y?
(b) What is the probability of purchasing 2 non-defective television sets? (Fraction form)
(c) make a probability distribution table.
Sport utility vehicles (SUVs) vans, picks up are generally considered to be more prone to roll over than cars. In 1997, 24.0% of all highway fatalities involved rollovers: 15.8% of all fatalities in 1997 involved SUVs vans and pickups given that fatality involved a rollover. Given that a rollover was not involved 5.6% of all fatalities involved SUVs vans and pickups.
Consider the following definitions: A= fatality involved an SUV van or pickup B=fatality involved an rollover
a. If a highway fatality is selected at random, what is the probability that the fatality involved an SUV a van or pickup?
b.Use Bayes' theorem to find the probability that a fatality involved a rollover given that the fatality involved an SUV a van or pickup
Consider the following definitions: A= fatality involved an SUV van or pickup B=fatality involved an rollover
a. If a highway fatality is selected at random, what is the probability that the fatality involved an SUV a van or pickup?
b.Use Bayes' theorem to find the probability that a fatality involved a rollover given that the fatality involved an SUV a van or pickup.
i) Determine P(X<150) (3Marks)
ii) Determine to one dp the time exceeded by 10% of installations. (4Marks)
b) The time Y minutes taken by Sid Slow to install a satellite dish may also be assumed a normal random variable but with
P(Y<170)=0.14 and P(Y>200)=0.03
Determine to the nearest minute value for the mean and standard deviation of Y. (6Marks)
Please show all working thanks
#340153 on Dec 2023