QuestionA purchasing manager at a university is investigating which brand of LCD projector to purchase for equipping classrooms. Of major concern to her is the lifetime of the light bulbs used in the projectors. One company has published the following histogram regarding the lifetimes of a sample of 50 bulbs used in its LCD projectors.
Based on the histogram, find the proportion of bulb lifetimes in the sample that are at least 950 hours. Write your answer as a decimal, and do not round your answer.
Explanation
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Studdy Solution
STEP 1
1. The histogram provides the relative frequencies of bulb lifetimes in different intervals.
2. The total relative frequency sums to 1, which corresponds to the entire sample of 50 bulbs.
3. We need to find the proportion of bulbs with lifetimes of at least 950 hours.
STEP 2
1. Identify the relative frequency for the interval 950-1000 hours.
2. Sum the identified relative frequencies to find the total proportion of lifetimes at least 950 hours.
STEP 3
Identify the relative frequency for the interval 950-1000 hours.
From the histogram, the relative frequency for the interval 950-1000 hours is given as:
STEP 4
Sum the identified relative frequencies to find the total proportion of lifetimes at least 950 hours.
Since the only interval starting from 950 hours is 950-1000 hours, the total proportion is:
The proportion of bulb lifetimes in the sample that are at least 950 hours is:
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