Y=k/x
2=k/8
k=16
the answer is A
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 )
Common ratio = second term / first term = 12 / 8 = 1.5
Answer:
<h2>
5,936.76 feet/day</h2>
Step-by-step explanation:
Formula to use to get the speed is expressed as speed = Distance/Time
Given parameters
Distance = 94km
Time = 7.5weeks
Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.
For the distance:
Given the conversion
1 km = 3280.84 feet
95km = (95*3280.84)feet
95km = 311,679.8 feet
For the time:
If 1 week = 7 days
7.5weeks = (7.5 * 7)
7.5weeks = 52.5 days
Speed In ft/day = 311,679.8 feet/ 52.5 days
Speed in ft/day = 5,936.76 feet/day
<em>Hence the speed in feet per day is 5,936.76 feet/day</em>
