Use the Appropriate Normal Distribution to Approximate the Resulting Binomial

question 3

Short Answer

Use the appropriate normal distribution to approximate the resulting binomial distribution.
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An experiment was conducted to test the effectiveness of a new drug in treating a certain disease. The drug was administered to 50 mice that had been previously exposed to the disease. It was found that 35 mice subsequently recovered from the disease. It was determined that the natural recovery rate from the disease is 0.5. Determine the probability that 35 or more of the mice not treated with the drug would recover from the disease.
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Round your answer to four decimal places, if necessary.
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The probability is __________.

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Definitions:

Canalization

A concept in developmental biology and genetics referring to the ability of an organism to produce the same phenotype despite variations in its genotype or environment.

American Academy of Pediatrics

A professional organization of pediatricians dedicated to the health, safety, and well-being of infants, children, adolescents, and young adults.

Obesity

A condition characterized by excessive body fat accumulation, which poses health risks.

Tongue-Thrust

A reflexive motion of the tongue pushing against or out of the mouth, commonly seen in infants and sometimes in older children or adults with certain conditions.