Five hundred children participated in a field demonstration.Their heights averaged 110 cm with a standard deviation of 6 cm.How many children , picked at random,has a height greater than 116 cm?
A box contains 3 pens 2 markers and 1 highlighter.sara selects one item
at random and does not return it to the box she then selects a second
item at random what is the probability that sara selects one pen and
then one marker.
A bag contains four $5 bills, five $10 bills and three $20 bills. two bills
are selected without the first selection being replaced find P($5 then
$5)
A nutritionist claims that her developed bread is fortified with vitamin B.
A cane of length P is to be broken into two parts. What is the probability that one part will have a length of more than double the other? State clearly what assumptions would you have made. Discuss whether you believe these assumptions are realistic and how you might improve them if they are not.
Suppose X ~ U(37,51), T ~ EXP(0.008) and Y ~G(54,0.25).Calculate the following:
(a) The constant m if P(X < m) = 0.63
A coin is tossed twice at random what is the probability of getting
(a)At least one tail
(b)The same face
A small town has three grocery stores (1, 2 and 3). Four ladies living in this town each randomly and independently pick a store in which to shop. Give the sample space of the experiment which consists of the selection of the stores by the ladies. Then define the events
A consulting firm rent cars from two agencies, 45% from agency P and 55% from agency Q. It is known that 8% of the cars from agency P and 6% of the cars from agency Q have bad tyres.
Draw a tree diagram for the above situation.
ii) Find the firm will get a car with bad tyres.
iii) If a car rented by the firms has good tyres, find the probability that it came from agency Q.