BASED ON THE IMAGE BELOW. FIND THE VOLUME OF THE CYLINDER2m and 1m
2 answers:
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Answer:
The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.
The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.
Step-by-step explanation:
The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.
In a sample of 20 items there are 4 defective items.
The probability of selecting a defective item is:
A random sample of <em>n</em> = 3 items are selected at random.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.
The variance of a Binomial distribution is:
Compute the variance of <em>X</em> as follows:
Compute the standard deviation (σ (X)) as follows:
Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.
Now compute the variance of (20 - X) as follows:
Compute the standard deviation of (20 - X) as follows:
Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.
Answer:
a level of significance of 0.01 = 1%
Step-by-step explanation:
given
Z = 0.0001
mean μ=0.21 g/mi
variate x= 0.21 + 0.03
standard deviation σ= 0.05 g/mi.
N = sample population 20 cars
z = (x −μ )/[σ /√N ]
Z =
Z = 0.03/ (0.05/√20) = 0.03/0.0111
Z = 2.63 +- 0.0001
Z= 2.6301 or 2.6299
checking the level of significance table from a statistical book gives
a level of significance of 0.01 = 1%
therefore the null hypothesis is accepted.