Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!
1. You already did it.
2. Table
3. t (years since 1990)
4. n (# of cigarettes sold)
5. (t, n)
6. You can see the distribution of the data pretty neatly. There are also many more advantages including it's easier to calculate standard deviation, easier to see the mean, mode and median, and it's also much easier to just tell the extrema of the dataset by just looking at the scattergram.
Answer:
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
The first 10 and 50 digits of Pi:
3.14159265 35897932384626433832795028841971693993751
Answer:
Option (C)
Step-by-step explanation:
From the given table,
Dependent variable is the weight of each load and independent variable is number of loads of crushed stones.
Let the equation that represents the total weight is,
W = mn + b
Where 'm' = slope of the line
b = y-intercept
n = number of loads
Since graph starts from the origin (0, 0), y - intercept 'b' will be 0.
Two points lying on the line are (0, 0) and (1, 2000)
Slope of the line 'm' = 
= 
=2000
Therefore, equation will be,
W = 2000n
Option (C) will be the answer.
