(d) Manufacturer A's television picture tubes have a mean lifespan of 7.18 years and a standard deviation of 0.66 years; while those of manufacturer B have a mean duration of 6.27 years and a standard deviation of 0.42 years. What is the probability that a random sample of 39 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 45 kinescopes from manufacturer B? Round your answer to four decimal places after the period.

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