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3 years ago

Suppose odd numbers 1, 3, 5 with probability C and on each of the even numbers with probability 2C.

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

Step-by-step explanation:

a) Odd numbers if n then even numbers also n

Total prob = 1 gives 3c=1

c=1/3

b) X=1, if even and

0, if odd

Y =1, if x >3 and

=0 otherwise

xy can take values as 0 or 1

xy =1 if x even and y is greater than 3, or favorable outcomes are

4, 6.

xy= 1 if die shows 4 or 6

=0 if otherwise

Prob (xy) = 1/3, for xy =1 and

= 2/3 for xy =0

This is binomial since each trial is independent.

If 12 tosses are made then if we have binomial proba

with n =12 and p = 1/3 for success

You might be interested in

There are three consecutive integers such that the sum of the two smallest integers is 17 less than three times the largest.What

abruzzese [7]

ANSWER:

Let the smallest integer = x

x + x + 1 = 3 ( x + 2 ) - 17

2x + 1 = 3x + 6 - 17

2x - 3x = 6 - 17 - 1

- x = - 12

x = 12

FINAL ANSWER:

Therefore, the smallest integer is 12.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3

6 0

3 years ago

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0

3 years ago

Write the slope-intercept form of the equation<br> 1) through: (1,0), parallel to y=-3x + 5

Evgesh-ka [11]

Y-0=-3(x-1)
*distribute -3*
y=-3x+3

7 0

2 years ago

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Rzqust [24]

At least you can write it as the sum of half of it twice, that is:
2/x = 1/x + 1/x
whatever x number you have, for example:
2/5 = 1/5 + 1/5

But then, you can express a fraction in many different ways, for example again:
2/5 = <span>1/5 + 1/5 = 2/10 + 2/10
</span>= 1/10 + 1/10 + 1/10 + 1/10
so there are an infinite ways of expressing such a fraction.

7 0

3 years ago

How do I do this? please help Im stuck on this and I cant understand the concept.

miskamm [114]

Answer:

take the total number of all x variables

6 0

3 years ago