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katrin [286]
3 years ago
10

Information on a packet of​ seeds, which may not be a random sample of​ seeds, claims that the germination rate is 94​%. ​What's

the probability that more than 96​% of the 220 seeds in the packet will​ germinate? Be sure to discuss your assumptions and check the conditions that support your model.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

0.1052

Step-by-step explanation:

Given that proportion of germination in the population is 94% =0.94

p = 0.96

Sample size = 220

Std dev of p = \sqrt{\frac{pq}{n} } \\=0.016

The probability that more than 96​% of the 220 seeds in the packet will​ germinate

= P(p\geq 0.96)\\=P(Z\geq \frac{0.96-0.94}{0.016})\\=P(Z\geq 1.25)\\==1-0.8948\\=0.1052

Assumptions are np and nq >5 and also sample size >220 hence normal

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