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likoan [24]
3 years ago
12

A bulb can either be on or off. A board contains connected to a randomization circuit that lights up a random sequence every tim

e it is turned on. What is the probability that all the lights will switch on
Mathematics
1 answer:
kari74 [83]3 years ago
7 0

The question is incomplete. The complete question is :

A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence every time it is turned on. What is the probability that all the lights will switch on ?

Solution :

It is given that :

There is board connected to = 20 bulbs

And one can either be put ON or put OFF.

Therefore the chance that a bulb is ON = $\frac{1}{2}$

It is given that every time a bulb turns ON, the board lights up in a random sequence.

Therefore, the probability of all the lights to be switched ON is given by :

$=\left(\frac{1}{2}\right)^{20}$

$=\frac{(1)^{20}}{(2)^{20}}$

$=\frac{1}{1048576}$

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
atroni [7]

Answer:

The probability that this whole shipment will be​ accepted is 0.8382. Almost all such shipments be​ accepted as the probability of accepting is higher.

Step-by-step explanation:

Consider the provided information.

The probability for accepting the whole batch if there is only one or none that​ doesn't meet the required specifications.

Aspirin tablets actually has a 2​% rate of​ defects. Thus, the rate of aspirin tablets are not defected 98%.

Which can be written as:

P(x=0 or x=1)

P(no defects out of 36)=^{36}c_0 \times (0.02)^0 \times (0.98)^{36}

P(no defects out of 36)=0.483213128206

P(one defects out of 36)=^{36}c_1 \times (0.02)^1 \times (0.98)^{35}

P(one defects out of 36)=36 \times 0.02 \times (0.49307)

P(one defects out of 36)=0.3550104

The probability that the whole shipment will accepted is the sum of the individual probabilities which is:

0.4832+0.3550=0.8382

Hence, the probability that this whole shipment will be​ accepted is 0.8382. Almost all such shipments be​ accepted as the probability of accepting is higher.

4 0
3 years ago
What is the value of the expression when n=3?<br><br> –2n(5 + n – 8 – 3n)
zavuch27 [327]
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n
8 0
3 years ago
Lincoln, Nebraska lies directly North of Dallas, Texas. Lincoln is at a latitude of 40.5
vfiekz [6]

Answer:

The angular speed of a point on Earth is

π12

radian per hour. The Equator lies on a circle of radius approximately 4000 miles. Find the linear velocity, in miles per hour, of a point on the Equator.

Step-by-step explanation:

7 0
3 years ago
A group of people are playing a game where some players are eliminated in each round. The number of rounds in the game is given
Nikitich [7]
Is about the same as the posting you had before.

bear in mind that in an exponential equation the initial amount is usually the one outside the parentheses, the one that doesn't have an exponent
128(0.50)ˣ, that'd be 128.
5 0
3 years ago
The graph below shows a line segment MN: Which of the following equations best represents the line segment MN?
Aneli [31]
Y= -2x-1 is the asnwer i think
hope this helped
4 0
3 years ago
Read 2 more answers
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