Answer:
The probability is

The company will accept 90.72% of the shipment and will reject
of the shipment , so many of the shipment are rejected
Explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is

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://img.qammunity.org/2021/formulas/mathematics/college/1xqm0lxmcg9829pv52ca605v7ddoaqb7ys.png)
=>
![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://img.qammunity.org/2021/formulas/mathematics/college/lzco24f8qgm797rspz708gch8o7k9mgfgf.png)
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://img.qammunity.org/2021/formulas/mathematics/college/gv3smz65sdie8w6zuw1eyyj4eqj2qkjngi.png)
=>
![P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]]](https://img.qammunity.org/2021/formulas/mathematics/college/6j0cnyko5iu3qc4vhbaz8vs8bxuh9ov8k7.png)
=>

The company will accept 90.72% of the shipment and will reject
of the shipment , so many of the shipment are rejected