Question

A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 933 births consisted of 470 baby girls and 463 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 470 girls in 933 births. b. Find the probability of getting 470 or more girls in 933 births. If boys and girls are equally likely, is 470 girls in 933 births unusually high? c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)? d. Based on the results, does it appear that the gender-selection technique is effective? a. The probability of getting exactly 470 girls in 933 births is nothing. (Round to four decimal places as needed.)

Answer #1

a)

n= | 933 | p= | 0.5000 |

here mean of distribution=μ=np= | 466.5 | ||

and standard deviation σ=sqrt(np(1-p))= | 15.2725 |

**probability of getting exactly 470 girls in 933 births
:**

probability = | P(469.5<X<470.5) | = | P(0.2<Z<0.26)= | 0.6026-0.5793= |
0.0233 |

(please try 0.0254 if this comes wrong and revert)

b)

probability = | P(X>469.5) | = | P(Z>0.2)= | 1-P(Z<0.2)= | 1-0.5793= |
0.4207 |

(please try 0.4221 if this comes wrong and revert)\

c)

the result from part b)

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