Answer:
The probability is ![P(X \le 2 ) = 0.9072](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%200.9072)
The company will accept 90.72% of the shipment and will reject
of the shipment , so many of the shipment are rejected
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is ![p = 0.03](https://tex.z-dn.net/?f=p%20%3D%20%200.03)
Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as
![P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20P%28X%20%3D%20%200%20%29%20%2B%20%20P%28X%20%3D%20%201%20%29%20%2B%20P%28X%20%3D%200%29%5D)
=> ![P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B%5E%7Bn%7DC_0%20%2A%20%28p%29%5E%7B0%7D%20%2A%281-p%29%5E%7Bn-0%7D%20%5D%20%2B%20%20%5B%5E%7Bn%7DC_1%20%2A%20%28p%29%5E%7B1%7D%20%2A%281-p%29%5E%7Bn-1%7D%20%5D%20%2B%20%20%5B%5E%7Bn%7DC_2%20%2A%20%28p%29%5E%7B2%7D%20%2A%281-p%29%5E%7Bn-2%7D%20%5D%5D)
Here C stands for Combination (so we will be making the combination function in our calculators )
So
=> ![P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B%5E%7B36%7DC_0%20%2A%20%280.03%29%5E%7B0%7D%20%2A%281-0.03%29%5E%7B36-0%7D%20%5D%20%2B%20%20%5B%5E%7B36%7DC_1%20%2A%20%280.03%29%5E%7B1%7D%20%2A%281-0.03%29%5E%7B36-1%7D%20%5D%20%2B%20%20%5B%5E%7B36%7DC_2%20%2A%20%280.03%29%5E%7B2%7D%20%2A%281-0.03%29%5E%7B36-2%7D%20%5D%5D)
=> ![P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B1%20%2A%201%20%2A%200.3340%20%20%5D%20%2B%20%20%5B36%2A%200.03%20%2A0.3444%20%5D%20%2B%20%20%5B630%20%2A%200.0009%20%2A%280.355%20%5D%5D)
=>![P(X \le 2 ) = 0.9072](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%200.9072)
The company will accept 90.72% of the shipment and will reject
of the shipment , so many of the shipment are rejected
Answer:
= ![2.67](https://tex.z-dn.net/?f=2.67)
Step-by-step explanation:
Given: ![8^1/3](https://tex.z-dn.net/?f=8%5E1%2F3)
We have to find the value of the given fraction which can be done by dividing the denominator value with the numerator value
![\frac{8^1}{3} \\](https://tex.z-dn.net/?f=%5Cfrac%7B8%5E1%7D%7B3%7D%20%5C%5C)
The power of 8 is '1', so, the value of numerator is 8.
![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
The value of the fraction is calculated by dividing 3 by 8.
= ![2.67](https://tex.z-dn.net/?f=2.67)
The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.
<h3>How to find the measure of the angle?</h3>
From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.
Therefore, the measure of angle PQR will be:
= 180° - 90° - (1/2 × 50°)
= 180° - 90° - 25°
= 65°
In conclusion, the angle is 65°.
Learn more about circle on:
brainly.com/question/24375372
Draw a picture! 29) The graph of the function f is shown<span> to the right. y Which of the following statements is false? ... </span>3<span>) On </span>the graph<span> to the right, draw a </span>function<span> that has the following properties: 0 A step (or jump) discontinuity at x = 5 </span>
Answer:
3, -1
Step-by-step explanation:
because that is the point that is at the center :)