A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment? red bulbs (Round answer to the nearest whole number).

A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?

red bulbs (Round answer to the nearest whole number)

Which company has the highest ratio of red bulbs in their shipment?

Company (Type either A or B)

Company A = Light Bulbs Express

Company B = Light Bulbs R Us

1. Expected(Red) in Shipment A = 1,050

2. Expected(Red) in Shipment B = 1,500

3. Company A has highest ratio of red bulbs

Step-by-step explanation:

Given

Shipment A (Light Bulb Express):

Total Light Bulb = 10,080

Sample Size = 48

Red Bulbs = 5

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 5/48

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 5/48 * 10,080

Expected(Red) = 50400/48

Expected(Red) = 1,050

Hence, the expected number of red light bulbs in the entire shipment is 1,050

Given

Shipment B (Light Bulb R Us):

Total Light Bulb = 15,500

Sample Size = 62

Red Bulbs = 6

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 6/62

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 6/62 * 15,500

Expected(Red) = 93000/62

Expected(Red) = 1,500

Hence, the expected number of red light bulbs in the entire shipment is 1,050

The company with highest probability has the highest ratio;

For Company A (Light Bulb Express)

Probability = 5/48

Probability = 0.1042

For Company B (Light Bulb R Us)

Probability = 6/62

Probability = 0.0968

Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;

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