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Mazyrski [523]
3 years ago
12

A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia

tion of the binomial distribution.
8.9
80.0
119.9
0.2
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
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Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

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=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

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Substituting the value of H in (1), we get:

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Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

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