Tema
Q:
There is a 0.99962 probability that a randomly selected 23 -year-old female lives through the year. An insurance company wants to offer her a one-year policy with a death benefit
of \( \$ 1,000,000 \). How much should the company charge for this policy if it wants an expected return of \( \$ 600 \) from all similar policies?
The company should charge \( \$ \square \).
(Round to the nearest dollar.)
Q:
A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8 . A marble
is drawn at random from the jar. Find the probability of the given event.
(a) The marble is red
Your answer is:
(b) The marble is odd-numbered
Your answer is:
(c) The marble is red or odd-numbered
Your answer is:
(d) The marble is blue and even-numbered
Your answer is:
Q:
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each
color is split into two suits of 13 cards each (clubs and spades are black and hearts and
diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 9 of Spade s?
2) A Spade or Heart?
3) A number smaller than 9 (counting the ace as a 1)?
Q:
If \( f(x)=k(1-x) \quad 0<x+1 \)
Find \( P(x>0.25) \)
Q:
A poll showed that \( 50.8 \% \) of Americans say they believe that statistics teachers know the true
meaning of life. What is the probability of randomly selecting someone who does not believe
that statistics teachers know the true meaning of life.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter
the "\%" symbol.
Q:
A die is rolled. Find the probability of the given event.
(a) The number showing is a 5 ;
The probability is:
(b) The number showing is an even number;
The probability is :
(c) The number showing is greater than 2 ;
The probability is :
Q:
A card is drawn randomly from a standard 52-card deck. Find the probability of the given
event.
(a) The card drawn is 5
The probability is : \( \frac{1}{53} \)
(b) The card drawn is a face card (Jack, Queen, or King)
The probability is :
(c) The card drawn is not a face card.
The probability is:
Q:
Tickets for a raffle cost \( \$ 11 \). There were 730 tickets sold. One ticket will be randomly selected
as the winner, and that person wins \( \$ 1400 \) and also the person is given back the cost of the
ticket. For someone who buys a ticket, what is the Expected Value (the mean of the
distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the
answer rounded to two decimal places.
Expected Value \( =\$ \$ \)
Q:
Tickets for a raffle cost \( \$ 10 \). There were 758 tickets sold. One ticket will be randomly selected
as the winner, and that person wins \( \$ 1600 \) and also the person is given back the cost of the
ticket. For someone who buys a ticket, what is the Expected Value (the mean of the
distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the
answer rounded to two decimal places.
Expected Value = \( \$ \)
Q:
Tickets for a raffle cost \( \$ 6 \). There were 624 tickets sold. One ticket will be randomly selected
as the winner, and that person wins \( \$ 1100 \) and also the person is given back the cost of the
ticket. For someone who buys a ticket, what is the Expected Value (the mean of the
distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the
answer rounded to two decimal places.
Expected Value \( =\$ \$ \)
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