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sladkih [1.3K]
3 years ago
9

Please help I have no idea how to do this and its due in a couple hours

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful

Step-by-step explanation:

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Find the probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events.​ Hint:
emmainna [20.7K]

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72​% of the time, then the probabilty that he makes hit in 1 at-bat is p=0.72 and the probabilty that he doesn't make hit in 1 at-bat is q=1-p=1-0.72=0.28.

The probability that the hitter makes 10 outs in 10 consecutive​ at-bats, assuming​ at-bats are independent events is

P=p^{10}=(0.72)^{10}\approx 0.037.

5 0
3 years ago
What is 6.33 percent as a decimal
Harrizon [31]
I'm pretty sure the answer is .0633 but I'm not sure
5 0
4 years ago
Read 2 more answers
The city has an average of 13 days of rainfall for April.
zhenek [66]

Using the Poisson distribution, we have that:

  • There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.
  • There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.
  • There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

For this problem, the mean is given as follows:

\mu = 13

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0

P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003

P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

6 0
2 years ago
A bookstore had 45 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 1/3 of what remained. How many copies do
Ket [755]

After the first day, 1/3 of the original amount remained:

... (1/3)·45 = 15


After the second day, 2/3 of that amount remained:

... (2/3)·15 = 10


The bookstore has 10 copies left.

6 0
4 years ago
How do i write 6/4 as a percent
babymother [125]
\frac{6}{4} = 1.5 × 100 = 150%
5 0
3 years ago
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