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Solving these useing R program using pnorm() for Statistics Please show the code you used and...

Solving these useing R program using pnorm() for Statistics

Please show the code you used and the answer Thank you

The fracture toughness (in ???√?) of a particular steel alloy is known to be normally distributed with a mean of 28.3 and a standard deviation of 0.77. We select one sample of alloy at random and measure its fracture toughness.

▶ What is the probability that the fracture toughness will be between 27.8 and 30.7?

▶ What is the probability that the fracture toughness will be at least 29.5?

▶ Given that the fracture toughness is at least 29, what is the probability that the fracture toughness will be no more than 30.5?

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