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2 years ago

Toss a coin 5 times. what is the probability of getting exactly 2 tails

1 answer:

5 0

The total number of outcomes is (1/2)^5 dice each of the 5 coin tosses is an independent event. From the 5 possible tails, exactly 2 tails need to be selected. So the favored outcome is 5C2 = (5*4)/(1*2)= 10. The probability is 10/32 = 5/16.

You might be interested in

What is the value of a in the equation a = 2 + 3a + 6?

gulaghasi [49]

A = 2+3a +6

a-3a = 8

-2a = 8

a = -8/2 = -4

3 0

2 years ago

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

2 years ago

3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. T

Serga [27]

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2 6^2π= 36π A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b) A= πr^2 18^2 π = 324π

A= πr^2 12^2π = 144π

324 – 144 = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

3 0

3 years ago

Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the

dmitriy555 [2]

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

4 0

2 years ago

Help me pls I,need it very much

Sunny_sXe [5.5K]

A straight line is 180 degrees. As a result, 180-35=x, or x=145

3 0

3 years ago