All categories

3 years ago

Which table shows a linear relationship

Mathematics

2 answers:

Furkat [3]3 years ago

8 0

The answer to the problem is B

drek231 [11]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe

Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card. X has the binomial distribution with n = 100 trials and success probability p = 0.2

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

for values of x = 0, 1, 2, ..., n

P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20

- The variance of the binomial distribution is n * p * (1 - p) = 16

7 0

3 years ago

Related subtraction fact for 7+6=13

Svet_ta [14]

13-6=7 or 13-7=6 Hope this helps you

4 0

3 years ago

Read 2 more answers

C.<br> In (MN) = In M + In N, for M> 0 and N> 0<br> True or false

melisa1 [442]

That statement is true

8 0

3 years ago

alukav5142 [94]

The answer to that would be many

8 0

3 years ago