Tema
Q:
What is the probability that she wins?
Q:
There is a \( 90 \% \) chance of rain for both Saturday and Sunday, respectively.
What is the probability that it rains on Saturday but not on Sunday?
Which type of probability problem is this?
Multiplication Order Relevant
Q:
(2.) โยนเหรียญ 1 เหรียญ และลูกเต๋า 1 ลูก จำนวนวิธีทั้งหมดได้กี่วิธี
วิธีทำ
Q:
A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts.
One shirt is chosen at random from the-drawer. Find the probability that it is not a white shirt.
Q:
basket is filled with 7 white eggs and 14 brown eggs. Half of the brown eggs are cracked.
n egg is randomly selected from the basket. What is the probability that it is a cracked, brown egg
Vrite your answer as a fraction in simplest form.
Q:
PROBLEM
Simon must answer two security questions in order to reset his forgotten password to his AOL account from 1996. The
probability he remembers the answer to the first security question is .6 . The probability that he fails to remember the
answer to the second question is .6. What is the probability that Simon successfully answers both questions correctly?
Q:
A college foundation raises funds by selling 600 raffle tickets for a new car worth \( \$ 46,000 \) at \( \$ 140 \) each.
(a) Find the expected net winnings of a person buying one of the tickets.
(b) Find the total profit for the foundation, assuming they had to purchase the car.
(c) Find the total profit for the foundation, assuming the car was donated.
(a) The expected net winnings are \( \$ \)
(Round to the nearest hundredth as needed.)
Q:
Let
\[ f(x)=\left\{\begin{array}{ll}0.048 x(5-x) & 0 \leq x \leq 5 \\ 0 & \text { otherwise }\end{array}\right. \]
(a) Verify that \( f \) is a probability density function.
(b) Find \( P(X \geq 4) \).
Q:
The expected value of betting \( \$ 1 \) on one roulette number is
approximately \( -\$ .05 \). What does this mean in practical terms?
If many people made this bet over the course of the night, the
house would expect to take in approximately a \( 5 \% \) return.
If I bet \( \$ 1 \) one time, I would expect to leave the table with
approximately 95 cents.
I am almost guaranteed to lose this bet
I am almost guaranteed to win this bet
Q:
1. Let \( X \) be a continuous random variable whose probability density function is
\[ f(x)=\left\{\begin{array}{ll}\frac{x^{3}}{4} & 0 \leq x \leq c \\ 0 & \text { otherwise }\end{array}\right. \]
What is the value of \( c \) that makes \( f(x) \) a valid probability density function (PDF).
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