solution:
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.
Consider x to be the number of non-conformities. It follows a binomial distribution with n being 50 and p being 0.03. That is,
binomial (50,0.02)
Also, the estimate of the true probability is,
p∧ = x/50
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
The calculation is obtained as
P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)
= 50cx ₓ (0.03)x ₓ (1-0.03)50-x
= (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ (0.03)3 ₓ (1- 0.03)50-3 )
=( ₓ (0.03)0 ₓ (1-0.03)50-0 + ₓ (0.03)1 ₓ (1-0.03)50-1 + ₓ (0.03)2 ₓ (1-0.03)50-2 ₓ (0.03)3 ₓ (1-0.03)50-3 )
Answer:
Step-by-step explanation:
We are given the following in the question:
Let l be Lyle's height, h be Harry's height and v be Vince's height.
Thus, we can write:
Lyle's Height =
Harry's height =
Putting the value in the equation:
Thus, Vince's height is 3.5 feet.
I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
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Answer:
The correct answer is:option A and B
Step-by-step explanation:
A researcher is studying and examining psychological factors in academic achievement amongst teenage boys. One of the variable he is particularly paying more attention is in determination.
The quantifying of variability for the variable determination suggests how stretched out are the values for determination amid teenage boys (do all boys that are still in their teenage years have the same determination) and how constant are the values of determination amid teenage boys.
Answer: 1 min 50 sec
Step-by-step explanation:
The range is max value - min value
min value = 14 mins 40 sec
max value = 16 mins 30 sec
so now subtract these 16 mins 30 sec - 14 mins 40 sec
= 1 min 50 sec
