Nicole has a 10 m ball of string. She cuts 6 lengths of 40 cm each, How much string does she use?

P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball

Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

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

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 30, p = 0.626$

So

$\mu = E(X) = np = 30*0.626 = 18.78$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65$

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is $P(X \leq 16 + 0.5) = P(X \leq 16.5)$ , which is the pvalue of Z when X = 16.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16.5 - 18.78}{2.65}$

$Z = -0.86$

$Z = -0.86$ has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0

3 years ago

141÷6 (a) Write a story problem that matches this expression. (b) Solve the problem. (c) Does the quotient in your problem have

avanturin [10]

There is a type of ammo in f/o/r/t/n/i/t/e that can be magically used for every single gun. You open an ammo box, and out pops 141 rounds of that ammo. You have already collected 6 guns. How many rounds go into each gun?

The answer is 23.5

THERE IS A REMAINDER??

Nothing happens! Literally! It never happened! There is no ammo that can be used for all the guns. GG and hope to see you on the game sometime, cause...i am not allowed to have it.

8 0

3 years ago

Hi! I need to know if I would be correct on this...

V125BC [204]

I think you're right:

6 0

3 years ago

Round 4,343 to the nearest thousand.

Ad libitum [116K]

4000. You need to round it to the nearest thousand, which would be the 4 at the start if you break it down into its units. Where from right to left, you have, 1s, 10s, 100s and 1000s. Meaning you need to keep the first digit (unless the hundreds are 500+) and everything after should just be the thousands.

8 0

3 years ago

Read 2 more answers

1. Si Luisa come más torta que Cris, María come más torta que Cris y menos que Rosa, pero ella come más que Luisa. ¿Cuál de ella

shusha [124]

Cris come menos pastel

4 0

3 years ago

Nicole has a 10 m ball of string. She cuts 6 lengths of 40 cm each, How much string does she use?​

Nicole has a 10 m ball of string. She cuts 6 lengths of 40 cm each, How much string does she use?