Ask question

Ask question

All categories

3 years ago

7

Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the neare

st tenth, if necessary.

1 answer:

kirill [66]3 years ago

6 0

Answer:

0.4

Step-by-step explanation:

For independent events,

P(X ∩ Y) = P(X)* P(Y)

=>

1/3 = P(X)*(5/6)

solve for P(X) =>

P(X) = (1/3)*(6/5) = 2/5 = 0.4

You might be interested in

1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?

postnew [5]

Answer:

c. $\frac{1}{12n} = {[12n]}^{-1}$

Step-by-step explanation:

$[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}$

$\frac{2}{3} = \frac{6}{9}\\ \\ \frac{1}{2} = \frac{3}{6}$

* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

8 0

3 years ago

A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hou

IrinaK [193]

Answer:

3 customers

Step-by-step explanation:

Rate of arrival (λ) = 15 per hour

Service rate (μ) = 20 per hour

The number of customers in a system given the arrival rate and the mean service rate is given by:

$N = \frac{\lambda}{\mu-\lambda}\\$

Applying the given data:

$N = \frac{15}{20-5}\\N=3\ customers$

The average number of customers in the system is 3 customers.

6 0

3 years ago

A lock has two buttons: a "0" button and a "1" button.To open a door you need to push the buttons according to a preset 8-bit se

ratelena [41]

Answer:

Step-by-step explanation:

The problem relates to filling 8 vacant positions by either 0 or 1

each position can be filled by 2 ways so no of permutation

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 256

b )

Probability of opening of lock in first arbitrary attempt

= 1 / 256

c ) If first fails , there are remaining 255 permutations , so

probability of opening the lock in second arbitrary attempt

= 1 / 255 .

7 0

3 years ago

Solve for n.<br> 7+2n = 11

Musya8 [376]

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

5 0

1 year ago

Read 2 more answers

The type of equation given below is in point-slope form <br> y=1/2x-5 true or false

kykrilka [37]

Answer:

false

Step-by-step explanation:

point slope form : y - y1 = m( x - x1 )

the equation y = 1/2x - 5 does not follow this therefore the answer is false

the equation y = -1/2x - 5 is instead put in slope intercept form , y = mx + b

8 0

2 years ago