Which is the function represented by the table

1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr

ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

P(at least one head) + P(no heads) = 1

Then, P(at least one head) = 1 - P(no heads)

The probability of 4 tails is:

P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81

Then, P(at least one head) = 1 - 1/81=80/81

7 0

2 years ago

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun

yarga [219]

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

$\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7$

Hence, the distribution for the total amount of product has mean and standard deviation given by:

$\mu = \mu_F + \mu_R = 370 + 170 = 540$

$\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25$

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

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

$Z = \frac{575 - 540}{25}$

$Z = 1.4$

$Z = 1.4$ has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0

2 years ago

PLS HELP WILL GIVE BRANLIEST PLUS 15 POINTS

Travka [436]

The answer is B since he bought 4 in all it is x+y =4 . x=dvd y= blue ray discs .

so 2x + 5y =11
2x since dvds are $2
5y since blue ray discs are $5
11 since that’s the total

6 0

2 years ago

Solve the literal equation for y. 2x – xy = 3

sergey [27]

Answer:

Step-by-step explanation:

2x-xy=3

-xy=3-2x

y=3-2x/x

4 0

3 years ago

Read 2 more answers

Barry is thinking of a number.

Virty [35]

Answer:

10 and 30

Step-by-step explanation:

Let's focus on the first 2 parts of the hints :

The number must be even and a factor of 30 :

Let's write out the factors of 30 :

1 , 2 , 3 , 5 , 6 , 10 , 15 , 30

Now let's pick out the even ones :

2 , 6 , 10 , 30

Now let's take out the multiples of 5 :

10 and 30

These are the answers

Hope this helped and have a good day

7 0

1 year ago