1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesna [10]
3 years ago
14

Kenny has a 1/3 probability of getting a hit and a 1/6 probability of drawing a base-on-balls every time he appears at the plate

. Suppose he negotiates his contract for an end-of-the-season bonus of $1,000 for each hit and $100 for each base-on-balls he gets. If he can reasonably expect 600 plate appearances this year, how much does he expect his bonus will be?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

He expects that his bonus will be $210,000.

Step-by-step explanation:

For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

600 plate appearances this year

So n = 600.

Expected number of hits

p = \frac{1}{3}

So

E(X) = np = 600\frac{1}{3} = 200

Expected number of base on balls.

p = \frac{1}{6}

So

E(X) = np = 600\frac{1}{6} = 100

Bonus

$1,000 for each hit and $100 for each base-on-balls he gets.

200*1,000 + 100*100 = 210,000

He expects that his bonus will be $210,000.

You might be interested in
Can someone help me please
N76 [4]
26/100 or simplified to 13/50
7 0
3 years ago
2x10^-4 - 1x10^-5 show work. I got an answer of 1.9x10^-4,
oksian1 [2.3K]
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------

\bf 2\times 10^{-4}-1\times 10^{-5}\implies 2\cdot \cfrac{1}{10^4}-1\cdot \cfrac{1}{10^5}\impliedby 
\begin{array}{llll}
\textit{using the LCD}\\
of~10^5
\end{array}
\\\\\\
\cfrac{2}{10^4}-\cfrac{1}{10^5}\implies \cfrac{(10\cdot 2)~-~(1\cdot 1)}{10^5}\implies \cfrac{20-1}{10^5}\implies \cfrac{19}{10^5}
\\\\\\
19\cdot \cfrac{1}{10^5}\implies 19\times 10^{-5}
8 0
3 years ago
Read 2 more answers
Choose a method . Then find the product 10x15
34kurt

Answer:

150

Step-by-step explanation:

15*10

Lets get rid of the 0 for now

15*1

That is 15 added to itself 0 times so it is 15

Now lets put the 0 back

and we will get

150

5 0
3 years ago
Read 2 more answers
What is the value of the square root of 25 + the square root of 16?​
kozerog [31]

Answer:9

Step-by-step explanation: square root of 25 is 5 and of 16 the square root is 4 add both of them together and you get 9

6 0
3 years ago
Read 2 more answers
A building was planned to be built in an area north of 8th Street and east of Main Street, as shown below.
dalvyx [7]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Whitch is shorter 3.2 meaters or 320 milimeters
    15·1 answer
  • A certain bag of potting soil is 1/4 peat moss, and the rest is dirt, what part is dirt
    12·2 answers
  • Rename 120,000 ten thousand
    13·1 answer
  • Conference A and conference B each have 10 football teams. The table shows the number of football games that each team in the tw
    15·2 answers
  • Equilateral Triangle MNP has perimeter 12a+18b.
    8·1 answer
  • -3x=50 what is the answer I just need some help lol
    8·1 answer
  • Look at the following graph of the given equation. Determine whether the equation is the function. Explain why or why not.
    7·1 answer
  • Mark and a friend went out for dinner the bill was $23.40 they leave a 20% tip how much of a tip will they leave ? ​
    9·1 answer
  • 3 points<br> 4.8 cm<br> B<br> 3.6 cm<br> Calculate the length of AC.
    8·1 answer
  • A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!