Manufacturer A's television picture tubes have a mean lifespan of 7.13 years and a standard deviation of 0.8 years; while those of manufacturer B have a mean duration of 6.36 years and a standard deviation of 0.33 years. What is the probability that a random sample of 40 kinescopes from manufacturer A will have a mean lifespan that is 1 year longer than the mean lifespan in a sample of 45 kinescopes from manufacturer B? Round your answer to four decimal places after the period. Select one: a. The probability is 0.0469 b. The probability is 0.0464 c. None of the above d. The probability is 0.0455

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