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BabaBlast [244]
3 years ago
10

A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there

is a 64% chance that the player will miss both shots, a 11% chance that he will make one of the shots, and a 25% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer:

a)

P(X = 0) = 0.64

P(X = 1) = 0.11

P(X = 2) = 0.25

b) 0.75 = 75% probability that he makes no more than one of the shots

Step-by-step explanation:

We have these following probabilities:

64% = 0.64 probability that he misses both shots, that is, makes none of them.

11% = 0.11 probability that he makes one shot.

25% = 0.25 probability that he makes both shots.

a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)

Binomial probability distribution, in which P(X = x) is the probability of making x shots. So

P(X = 0) = 0.64

P(X = 1) = 0.11

P(X = 2) = 0.25

b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.64 + 0.11 = 0.75

0.75 = 75% probability that he makes no more than one of the shots

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Firdavs [7]

Answer:

4 > −3

Step-by-step explanation:

To find a number to the right of -3, it must be bigger than -3

The open part of the inequality faces the bigger number.

4 is bigger than -3

4>-3



3 0
3 years ago
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza? $1.63 $1.89 $2.45 $2.88
castortr0y [4]

1.63

4.89 divided by 3 = 1.63

3 0
2 years ago
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Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Aliun [14]

Answer:

3.5 is your answer.

Step-by-step explanation:

(7.7x10^-2) divided by (2.2x10^-2

Just *Divide*

Hope this helps.

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7 0
3 years ago
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard d
bagirrra123 [75]

The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

<h3>
How to find the confidence interval for population mean from large samples (sample size > 30)?</h3>

Suppose that we have:

  • Sample size n > 30
  • Sample mean = \overline{x}
  • Sample standard deviation = s
  • Population standard deviation = \sigma
  • Level of significance = \alpha

Then the confidence interval is obtained as

  • Case 1: Population standard deviation is known

\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}

  • Case 2: Population standard deviation is unknown.

\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}

For this case, we're given that:

  • Sample size n = 90 > 30
  • Sample mean = \overline{x} = 138
  • Sample standard deviation = s = 34
  • Level of significance = \alpha = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).

At this level of significance, the critical value of Z is: Z_{0.1/2} = ±1.645

Thus, we get:

CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90]

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

Learn more about confidence interval for population mean from large samples here:

brainly.com/question/13770164

3 0
2 years ago
5 more than d.<br> (Need answer ASAP)
densk [106]

Answer: 5+d

Step-by-step explanation:

More means adding and it doesn't matter which order you put it in in adding.

8 0
2 years ago
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